{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "32c0b3fa",
   "metadata": {},
   "source": [
    "# Compare Nanoparticle Electrodes with Small and High Catalyst Loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "46e9c30e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                   Title:\tSingle scan measurement 2\n",
      "             WiRE version:\t5.4.0.17909\n",
      "        Laser Wavelength:\t785.1154380376776 nm\n",
      "                   Count:\t1\n",
      "                Capacity:\t1\n",
      "      Point Per Spectrum:\t1015\n",
      "               Scan Type:\tStatic\n",
      "        Measurement Type:\tSingle\n",
      "           Spectral Unit:\tcounts\n",
      "              Xlist Unit:\t1/cm\n",
      "            Xlist Length:\t1015\n",
      "              Ylist Unit:\tpx\n",
      "            Ylist Length:\t1\n",
      "                   Title:\tSingle scan measurement\n",
      "             WiRE version:\t5.4.0.17909\n",
      "        Laser Wavelength:\t785.1154380376776 nm\n",
      "                   Count:\t360\n",
      "                Capacity:\t360\n",
      "      Point Per Spectrum:\t1015\n",
      "               Scan Type:\tStatic\n",
      "        Measurement Type:\tSeries\n",
      "           Spectral Unit:\tcounts\n",
      "              Xlist Unit:\t1/cm\n",
      "            Xlist Length:\t1015\n",
      "              Ylist Unit:\tpx\n",
      "            Ylist Length:\t1\n",
      "                   Title:\tSingle scan measurement\n",
      "             WiRE version:\t5.4.0.17909\n",
      "        Laser Wavelength:\t785.1154380376776 nm\n",
      "                   Count:\t360\n",
      "                Capacity:\t360\n",
      "      Point Per Spectrum:\t1015\n",
      "               Scan Type:\tStatic\n",
      "        Measurement Type:\tSeries\n",
      "           Spectral Unit:\tcounts\n",
      "              Xlist Unit:\t1/cm\n",
      "            Xlist Length:\t1015\n",
      "              Ylist Unit:\tpx\n",
      "            Ylist Length:\t1\n",
      "                   Title:\tSingle scan measurement 2\n",
      "             WiRE version:\t5.4.0.17909\n",
      "        Laser Wavelength:\t785.1154380376776 nm\n",
      "                   Count:\t1\n",
      "                Capacity:\t1\n",
      "      Point Per Spectrum:\t1015\n",
      "               Scan Type:\tStatic\n",
      "        Measurement Type:\tSingle\n",
      "           Spectral Unit:\tcounts\n",
      "              Xlist Unit:\t1/cm\n",
      "            Xlist Length:\t1015\n",
      "              Ylist Unit:\tpx\n",
      "            Ylist Length:\t1\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from renishawWiRE import WDFReader\n",
    "import logging\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib widget\n",
    "\n",
    "folder = './'\n",
    "logging.basicConfig(level=logging.INFO)\n",
    "RamanFiles = [os.path.join(folder, RamanFile) for RamanFile in os.listdir(folder) if RamanFile.endswith(\".wdf\")]\n",
    "RamanData = pd.DataFrame()\n",
    "for RamanFile in RamanFiles: \n",
    "    try: \n",
    "        reader = WDFReader(RamanFile)\n",
    "        reader.print_info()\n",
    "        data = pd.DataFrame({'wave number (cm-1)': reader.xdata, \n",
    "                            'intensity (counts)': reader.spectra})\n",
    "        data.to_csv(f'{RamanFile[:-4]}.txt', sep = '\\t')\n",
    "        data['fname'] = np.full(len(data['wave number (cm-1)']), RamanFile)\n",
    "        RamanData = pd.concat([RamanData, data])\n",
    "    except Exception: \n",
    "        reader = WDFReader(RamanFile)\n",
    "        reader.print_info()\n",
    "        data = pd.DataFrame({'wave number (cm-1)': reader.xdata, \n",
    "                            'intensity (counts)': np.ravel(reader.spectra[3,:])})\n",
    "        data['fname'] = np.full(len(data['wave number (cm-1)']), RamanFile)\n",
    "        RamanData = pd.concat([RamanData, data])\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "51f5d494",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['./CL20250721_016_Co3O4_#21_Image2_Spot1_30mW_1s_small_loading.wdf',\n",
       "       './CL20250727_001_Co3O4#43_0p1MKOHpristine_high_loading.wdf',\n",
       "       './CL20250721_011_Co3O4_#21_Image4_Spot2_30mW_1s_small_loading.wdf'],\n",
       "      dtype=object)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "RamanData['fname'].unique()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ce3d646",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d1e67faa",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<>:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:50: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "<>:50: SyntaxWarning: invalid escape sequence '\\m'\n",
      "/var/folders/f2/krn3py8536556jbm969hx5380000gn/T/ipykernel_13681/2944195326.py:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "  labels = ['Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 1}$', 'Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 2}$', 'Drop-cast $\\mathrm{Co_3O_4}$ electrode']\n",
      "/var/folders/f2/krn3py8536556jbm969hx5380000gn/T/ipykernel_13681/2944195326.py:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "  labels = ['Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 1}$', 'Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 2}$', 'Drop-cast $\\mathrm{Co_3O_4}$ electrode']\n",
      "/var/folders/f2/krn3py8536556jbm969hx5380000gn/T/ipykernel_13681/2944195326.py:38: SyntaxWarning: invalid escape sequence '\\m'\n",
      "  labels = ['Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 1}$', 'Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 2}$', 'Drop-cast $\\mathrm{Co_3O_4}$ electrode']\n",
      "/var/folders/f2/krn3py8536556jbm969hx5380000gn/T/ipykernel_13681/2944195326.py:50: SyntaxWarning: invalid escape sequence '\\m'\n",
      "  ax.set_xlabel('Raman Shift ($\\mathrm{cm^{-1}})$')\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-------\n",
      "{'half_window': 20}\n",
      "*******\n",
      "-------\n",
      "{'half_window': 20}\n",
      "*******\n",
      "-------\n",
      "{'half_window': 20}\n",
      "*******\n",
      "False\n",
      "False\n",
      "False\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "473e7c950d2d4054a02275950c7d84ef",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=320.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from renishawWiRE import WDFReader\n",
    "from matplotlib.ticker import AutoMinorLocator\n",
    "import matplotlib.pyplot as plt\n",
    "from pybaselines import morphological\n",
    "from scipy.signal import savgol_filter\n",
    "selection = ['CL20250721_016_Co3O4_#21_Image2_Spot1_30mW_1s_small_loading.wdf', 'CL20250721_011_Co3O4_#21_Image4_Spot2_30mW_1s_small_loading.wdf', 'CL20250727_001_Co3O4#43_0p1MKOHpristine_high_loading.wdf']\n",
    "\n",
    "samples = RamanData['fname'].dropna().unique()\n",
    "samples = sorted(\n",
    "    samples,\n",
    "    key=lambda x: selection.index(os.path.basename(x)) if os.path.basename(x) in selection else len(selection)\n",
    ")\n",
    "\n",
    "for sample in samples: \n",
    "    intensity = RamanData.loc[RamanData['fname'] == sample, 'intensity (counts)'].to_numpy()\n",
    "    background, params = morphological.rolling_ball(intensity, half_window=20)\n",
    "    smoothed = savgol_filter(intensity - background, 10, 1)\n",
    "\n",
    "    RamanData.loc[RamanData['fname'] == sample, 'background'] = background\n",
    "    \n",
    "    RamanData.loc[RamanData['fname'] == sample, 'smoothed intensity'] = smoothed\n",
    "    print(f'-------\\n{params}\\n*******')\n",
    "\n",
    "# Set up figure\n",
    "plt.rcParams['xtick.labelsize'] = 6\n",
    "plt.rcParams['ytick.labelsize'] = 6\n",
    "plt.rcParams['axes.labelsize']  = 7\n",
    "plt.rcParams['legend.fontsize'] = 6\n",
    "plt.rcParams['xtick.direction'] = 'in'\n",
    "plt.rcParams['ytick.direction'] = 'in'\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(1.6*2, 1*2), constrained_layout = True)\n",
    "\n",
    "lines = {}\n",
    "\n",
    "ic = 0\n",
    "zorders = [10, 100, 10]\n",
    "labels = ['Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 1}$', 'Spin-cast $\\mathrm{Co_3O_4 \\ electrode \\ spot \\ 2}$', 'Drop-cast $\\mathrm{Co_3O_4}$ electrode']\n",
    "for sample in samples:\n",
    "    print(sample in selection)\n",
    "    if os.path.basename(sample) in selection:\n",
    "    \n",
    "        label = RamanData.loc[RamanData['fname'] == sample, 'fname'].iloc[0]\n",
    "        lines[label], = ax.plot(\n",
    "            RamanData.loc[RamanData['fname'] == sample, 'wave number (cm-1)'],\n",
    "            RamanData.loc[RamanData['fname'] == sample, 'smoothed intensity'],\n",
    "            label=labels[ic], zorder = zorders[ic]\n",
    "        )\n",
    "        ic +=1\n",
    "ax.set_xlabel('Raman Shift ($\\mathrm{cm^{-1}})$')\n",
    "ax.set_ylabel('Intensity (counts)')\n",
    "ax.set_xlim(left = 160, right = 800)\n",
    "ax.xaxis.set_minor_locator(AutoMinorLocator(n=2))\n",
    "ax.yaxis.set_minor_locator(AutoMinorLocator(n=2))\n",
    "plt.legend(frameon= False)\n",
    "plt.savefig(f'Spectra_Confocal_Raman.png', dpi = 600); plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a0c95ec9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8aade938e3934a75831a25cecaf57c24",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=150.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_path = './CL20250722_011_Co3O4_#21_50x0p5_L_Image1_small_loading.jpg'\n",
    "import cv2\n",
    "image = cv2.imread(image_path)\n",
    "image = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)\n",
    "\n",
    "\n",
    "height, width = image.shape[:2]\n",
    "cropped = image[:, :]\n",
    "height, width = cropped.shape[:2]\n",
    "center_x, center_y = width // 2, height // 2\n",
    "fig, ax = plt.subplots(figsize = (1.5,1.5)) \n",
    "ax.imshow(cropped)\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "651509cf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "68654a38bb68454f8b4e759d9d4abd99",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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AJrazwHwpc4B7BK431/gKqZZ1+oMf/iH+6T//RxEuWjUxn5PCRlJVHYe2Pp6TSZklcZIPadfVWDBsMxbfQiSqmvfH17pib0bGKcZgjBSVPn0/C+J03wDzZniL2EbUfe+Ag/TuzkAtBUXNI6ylhBDn9N+j0Ey62cV9W9IOzd1/xXhmiQyMOlEBeTtXXiSn0wYpgv3cJgeCOV/MTY/FlwRp1dx5rHKwm4tCRCDaJ63KmOtj2pVjhSPmBADau60saoJymWf0LO3Re1/StucBAy4j9OZRwrda9TAZ3PCAMFfzpKykZb5nvld4fIvGDPDunbBF4UKJgZ9EmH1wDKDNCo37HI/LZWZHOehP/t6q/fO96eSsmvuFohuyGraODXbOVPsWmoobO2lyAKSJ9+sdmDxgcEGXqxSh5Uhv5PcpPDV2pQxNcxRUPnK5u9mP6T5T/LKWZZKR3h+CUiugehmXKwVoJE/VohJZ0/A+YbZ6B6QcuvfZKcimnVEN1Y5NRopOKAXX6I9pN0j08+Q9ydmLBgj31oKknD0125ELuKZycItlBa5tTe1oTQFNWZjL502rzNriKI8qT2L+LOB1F4oBeH7HNjJghE/UNjHUYp/tAYSp8Rh+yqEj06SqQHU4UZOQ0rvMf6OI5Yb1Dk2C8HaB+vidcBMwrJbqURTfEf2Ydl3mXcXVuXs2UqDIu4E9jcV3z/TWoIAzvSN0AcC9lmOh4soioM1asjjd0Jy5J+n6LPPDvzO+W9/LP6tgSk9m71bME7hPJNJ/4jraKZeTsLBlc91aixwzYPaQpQjKtkH3QWiuODUXSYnPeJeEqTT5QYBBLj+iXXkzxRxX69ojvCDw9A3Yuu1M7isV6B5GoQsMOPZC6JdVGDh4OTNBoGYSxED8OmF04aEK+GbQroPYzIHso5VuxKttQBXf4lY56dRUyfzwGchnhZaGQpG02LStDdjPJijb5q9NJj9ljGIIclcjmY3e2QK7Zm+Qz9a67ZASGRtnL/Dii4SxoA2Ab/FSw1W9D9XMICpDC9ReNpH2jtAPbpbqwrCPeT5jF/WYCOO/GMkpZfBF6DoEzLtYCkZeEhSqzeOBBa3tENlgJKVnN5X83RJpOIOSVVJPAODfgtMd3fOjany+Jo8zm+VSiglcV9R6QpGCWupIipTqadqJRe9cuIq9W5K3QBB7FYUC2cNzVc+FL912SFVfaHQaAO4FeJwoXL12g4iZo6YdRUg+wr21feG4SvLYSOJhfMffNF5l1iCqDOfAp1lMaCCeISkGlrWDpY6U9hb0IA1PaFELFPcxGRGolgHqSwHa2Te0O26Ea4zcFEBRjXswzDU0qH2+llHiiPfrvWMrG6DmZZPvquUSM5JsVUYcmAWqLWiWIgKDtm46BZDuJrHrlNRoP/uE/R7absS8P0Ol6hicSJNJ/JW1AvHJjXiyC5BdVy0rAAzidjQl9eAAPpnkbKIylirVB10FW7FdK0+2k01SSbtsFmxD4Fx8WffeoXvaocwAls20X2JMHHGXpnEChmAprMZDrlXVereFeuCpdddUjK1OY75wZrzXttnOpdVpoSf/LGfpedrNtn9JnXe5SCkooDmzn/vOLUj0QgIK+08O0NEmzvGTmlJhdAMxUmG2hN+DUf6gFih0/plt2yy1xDm07InBfy/VWGvDkM/ghkbP4zW2wG8iWHGM5aMh0p/zcyAW2Bx5IAl7EXZK1Ay/NwTpeH+jjc9lAbmHtJtsWFVVbGXQBTbYfA8wjZK/N1fdGz89FNNnEzlpxiKYi5TljRMlcqNyH0upEDV3f/UYBWaCSJNcOA+TRhiCOn0mPffaBvCeici8cPLWObu+0zXOb4VgFVuMVectbKVYGYNV22b6J/LkJq1l1uJZfX+edvUt9mzBPnejGAyTDxqi93lD6+H3WXUltNJlDQd+FoGz5hRgxgvzdTOY5wCf6obzW2fTrMVwx1atYk5rlqtvoaEGVmMJfJPoyawxcn1SxP0GZJ88Vnp2Hr2wVO0S0QqWLVLVsRezGSjftpzn1kf1GYwMkMZY47a54M+xyJnUfny7mWD1tuZ928Os6veIU5pBLr2Uy5BF3GvJd5pMso5rZmFkvVR+XkQs89Q1oPV9xuVDixntYBtCFNrnlU/vkeCeVMbwBsc9j6gN8Y0mvbco1BZa52jMupKXjshA5q5KKegJFpAnM8/TNrkYYLfgtzm6j8NZVw/p0D5ztQbWcVWbc6kyx5Ixw5SJgEvwy+sC826YWi9DQOO92VzwWq316PeaQrNqRjUOBQJugLWKgT1dM3kZAAoMEcg0HrmPWcMWKaiYIwq5D3u/zOy072sw5yU9AzWz9h5Zrq01dA/tNDSYFy/BOWqXRwsVcAONlcM0l1ppnliAqhpu26mdLnfl0O2maaQDYK/ljQxL7lH6PQuvdh3uNpgTaARrKXWk51LrUNv07v0sQYXYfYegGwHC+1+aYrasxbpruMHPLWlBmPcy5vHR1iZOLLIXilfsSQuDiYnimC0nNJqmfTY+fJ52E/A+qW6fRIMhi4dVBLUaMcnv0+z1PlJYQhGo5XfZ6vfqf+UENxAwYWPJQ/Zj1D6laY3+Fqu611VDQDoAuJbrLkihVas4K67YNsNAOfOS/aS5C7NbR0Lj+Ww4jngpOLMFxE85YC5Yq8BNHqNfY9/3qVRSfuK8mEUkOKz8etfHCxVwi0Q/rLwIiQRJMS/TLPZxusq57oDE66QiLJ3KzIvSDZcNpdpAtHaGwCvbeX8kTGl2sdk/NRJyiYlRuFjLQJXJfEDrnDDDI9CDnC0t1kdP3SkC9IVPQhKm2bSZ5stZGefz2SgQF6zT6YQnT56E4O+9o+JA4J6BSbNFWfPO8mdfKI2VQXQImY4HTdEI/5lrOC0XE6uBLkL2mVyXh3DiYxKbXa1mur2evbNV0LmS+TvgqzpNiGVS2iIwbQa0tju5yP2SG1TP2J+eIRUQ+w/JSQ2+Kk6VcK8sY8PJbJdZCJ7uZ5yfnsPUURhKtTCRmew5xcgyRC+JXToVvc15cjOmHLjuMe36phALzuLqMxQ5r3BhXM0HprrZE5gTX4ipcriHcULftdw1iM+tWuZl200Y4BrRQKxRA8Uxmqq9XTD6DGDKRhAMMyTCTRNmdvbWIK5ZS6T5ACp+VRnZHR0jWG37+RYvUBiIlijpiM5xNHLB6IECaEdvu8dZFadqGk7TbiAf0rj+pBn7KFNOzzecpL7k7j+iXVWw9j5qatZao0hsNzIpYmfWPJvSX2o+06VUNF/u1BxzOjLdd6+52Tt6t8/u7Qw0mMDWMgp4FN/c4b9bPxx0y2bpyt6ZrRqj/nQ/o9SKJyfDYBA/fUJZ9xNoUKuT6jwVi+vuu4VnarU8Mwtu2/V77xO2ERQUVBP8pkARE15YWlHxvtsWOYU8OWHbCmo5+WEEBhP28z5M5BSkv/SepRSzJF0C4CtggWz1vP4XKdFv8lTy70Aw3HNmwGhSLJNhb80S3DAwQr7+uE9mkomfbIWjCEoHSJjSzR5eHutw6nwtX7mRpCdz8NpM4ClCPlwsQ+gFrdEzXQrUOhSoMtx+YMY0dh/47qZRM/UdL7/Dc892bKfNubSx+2Rl8TPNEuObzSSATQoUo5ZYoxeZnu0x7eqCBcxgcV01ZJMlaSzAsUOcGGYhl5qw2goyee15+9Q8iWTduVqLOEURnhacwORGWYCatJYax5R0HRsPHIz5YQIsbtnBbfiWycDS4MOjpTmm1wt4ID6dFwQARQX7eSQwllJw2k54cjphb2fzMJM2EVySrOu4x2fpcfp1W7eFvMmokVXcyrxQgjWTkBoDz4Etzp9kDwZwAKpAUee13GT0FO5Zv8M2A1BxIBvVGqKNgPRwwKMvMEE0SsHBbu/ou2UVsLAJxBLj4AaMmiLHI2mK9r17jfVR/C2r6KE9XHu58NatosC3jvk5Q8wCPdWTk7hWOqCEVh/7IDkHuRJgFjLSFx0S1AKdmXC8DoTyedvN0mZKuewYuZ1sRvg9VcvjMkvlJQs9WP2slbeqet5lmIQDgfSBpcNABixrNvjfEExn31gf/YClLKaqzp0hSE6R4mWJTLMxnyoz6TbhDt5rKmNEjzr/Hs/MwxT4t92DAv0sumB93Xaip6LAsqQvvWiCBczag02BkWZCNY+xwmsZu5Jba6ixW/h4U8MFVyZj9QabrbO77ZJmWtHjZLsHyVu/nPRK8+YeKGCT6mFPPrQvEiNnJ9yn3BwCUFPmNGHSLJE2rOpH1+lU4HbznTqW3SDxz56XWQkzhTFRK2lxBXkLhCfaMarwCGHE4+Tq+hgrTzCQ+KwURV/DPetqusBM3lZhAmbBsfFQlK2EGz1dE4i8+tZ2dC0o2Kyas9ou4+4ZGFavE6CZgWu/6pmsjLexGqEl4lVUsEwSc9tN6Pb9jFq3yVxR0+UwlKpG0l4uEkxyNFMBfL2WDeazbB7vUxTZLO7nxHDbR74WTeW2eeiqlgmrHlmJ521XJ0izh8SjdpsfccJiHPZgZh6iltQzHiRvAjhS79NeO+GKNEI10oeR8RScjvBgbUdgHQ74aj6Nzadn6CnDOpfWNu9TnMJlzM9y583bsmtljeijdoGTs1keAmhcFjUUnOsTkciuOFp4vN7oo1sBYRbHmDsueqM3XiDBymcfX4Yshsoeg4tQub2PynTPwgmBD9LRs9nDEgyXXcowf9yJE4PKSYCEacz9rSkTgDE4w4VGRRQgHBEy9MwyiHQbtb16XRt636EqwbpnrWVk6nju7EHn51dVnPcEyLtFJYJl16HBjoQrP1fvAogJPfsDEsUJrjym3URjiQh6g2+TYhqG2KSIONlotFystMk8+kFDqhfpJmyZI1q1nQVmB27JWo1EMz21gup4Q+L9vTecytBuHj8fMcgiQGRaGp1bvJAahbjrbgVBlJPlk732x3Gfs2rxut0n5WCls69ZZtO+D98+dwktjlpodB1ee4wvSHs8TqiAG1VNFhFs29gsseYXhbZYIvZjtXrAd2GPg9wLpnvwOVYKSRz0W/iGzDwbcYVi5H3tZwuxiAjqVsHDBs5nEwwC/bxHEvCisj6hdbMgtR0jMrRbUBhiBpL7IAOBJm0ON+OsIEP3n45QKVZaKDzLrtBKoVVUXDo2ayM4t9hni7ikZXHkyjq4cJqet11/wyor+ilDLYjUldb2yd6z5aQ/+7yg1pc8o3NO/M8lhPIANp/UWkwD5WPkRCTMWi6XXctmoSFNJZj8nGqoOqFqCXZQDWKyWMjOT9SgefHTU/14FdIUCvX9gCl9OD1P79xTaE0oYAd5VyyIpn14tyPeN2urPEY5/ZtQYZhAeBx3vsZjddZ1vUJW/QUxjgMSVfOSyqj8a/xNquHgANQC15mT8sS5Djehg06o2+aDu8NCyhWt0xv1pDwBUEoQnL01w0hSjekXGTt7ikAsCSVSVwAE2FWP25GjOrn5syhBMfOu5LZGwQ4tAgRgnlOibYNtw9hQQoG2ALthJ8+oIO7zfot64d5SQ+iJb+d7lCnmqlDAa0o07kKHZdPa844dTQ9t1zWFyUtSd9VNc4wDG7k0uPs46IIiELW0DoV47nlK8gNX+ahaA2X9BscFonHfaaV6ZcHVQ7R+dDAff04sTF6WDJMBuax2E9XkvHXtvtVN0dEgOs5lhmOZlU4gaWwpMRI1Fey85pQZAe4RtOdkjjqQzGvSQK23qP9ADNVF0fc9xnYUH6GZ7Ziq/j6g3SBWyNoC7vkJH3bOFdL0HWIuEQuGjklN117uk81E5Mxj1QY8wX4Bxcktz6aSNT6JCw+dhXq5EZe/hTZyQZbiMUVPO173/jE+l/vTe4du22D20xgwp2vsEYBn4HYz1/nZEgfYesPmFEU4M2LZtRP9MZn7Fyi7gRsTgrpN3pd5Pj2yP/nQHKzeFUWeXa1XREM4zXX2Sil9ELLGZV1W48uCkL0n/mPBfAos8+snXAJiocRbiQS7PugMq40g5LV8E+gRhbIC7OHEABCP+TleZUFcajZL9xZ0NEtwXK6RF93FYaQdFu1kCMEXNoULQJRpemi7clEQIxMN1CIIUWKH8z6fjcwAazy4DCAPDA0oIrG9ia/vrRkO8ZwloyyGpsxtrPB5clV1HIYewjFPTNZylhNOekQ8SfDSqwVBO0zQSX3wOrx3jkDkvpIKNe3vG09lpBKTXqD3qdAQjriPa0tiKx6NstUt6sLnqoPjsCwb6LejLH6aduXtXxtUHXOYwQ4PyPDAWD0BwKulyAhmgTPvba7IZ0Izn/dHFx5gHYNZU+VJPyIOAUzHjwxzOG9ogD9HDHfXOGcxCy7/jbjdwf7FRWh57azxEJ7l2M7Vu4YQsCSU1RwrQE195cGfyQutpy3OhizVrm1OU0cp9jxc3I+lGoAbJfpNv6cVn38CLkzCHSMD6zgFHJjAJm/sAcwei07AeeZvViyVE+zYz/O+A7A4oa1ybu1KOBCDXC0yGPYcwiImW015wIBFoFeTGALnN2ScEfBicNTeNvMG9LlwMSBH7lfGj9N7jrdoLdY+HS2+5203SZsRMVogu76GNeg+D4A5tleN9OGtbubYmN8eALb4LmVOrAmvqe9aeT7fmMQ1zrhG/8P19qCzdBkLIQnIwF49QkUTeH+bCWGKcdag+bMr/SCqTpRx4wTHaxR4a60BTJYsQ9Cm+y4OBnTu594M29Za0R2ivPTSS360XHIrH9iuTJCykowrHFnOzwHG1i0MEo6knwBuFodrToEAZgKQf9v3dQLTfG+dyDWUIm6u1+vRbK8RA1VLxalJO9CcT94VGQgZJozXM8ejTib84tk082iXZhPg+CL8YO0jn58JgMUi1eNvSWckijpa6Z6bBWwydlbTgXlou26sUDsKhhAR5IqjzN4UTcc28UugvhJ6xBfDlWaKyfp90yYlNFY2TUdmx/o75+iPe8ymLr8n0Cgoy5aFqqtGH1Z6I382m2ZqLXrI9kEH0mpllboMHAY3r+EkuCabd+kca0jiXSlGU5RacHpygqX27HYdHae4PbTdoKIflUBCKNyVnFIxpglmOCW9ZtiEmCyD3pw1MU+YURa4EJJnCQ16R9kWIlAX7cGX6Sw4aFZYiKVuI0RE4CwiQBs5/szDWs0T+5Lfy5oN7tTQRwxnpIyxGoBb4zuZxF0XjfVVAex+dLIT1LwHPcwXiceKh4YG8zxxQKlEdxYIbmq18wP7wGYea+Q/+zzie/4bOCyEu0eN5mffd3cWtgvwzetqwoGrM7CnGuyqPYr0xrMnCmElWTOe4v1yQJ3mFepbv6oJFQVPpDoJnHf4SIIAg4IIPBsbV4ZjsQOQog7gd482JUpG5jz+h7QrH4SZkv28skxjAbBafTXQy8KI50Hgm5EAESMFCdyBybPkYHLg4LE6Abdcpf44TjOaY3PzQ84HnmNMLmf8zxARTTiPRrHFQa3smI0ZAm4ii0hkRRA7mluv06TRbJ68dkT1UNLT89PYNV7A+5D/M64uF6JDPMGgIlTjxRi30I7EvdVrZgk9yhg0yAr8H9CurrHO5zNKKTidnsTgljJqSXHTAQtxQOBb1amCa2zUrJxEIIFJTv4ApdCOAkblF3Avll2xtw60SOO0e9Fuq1dwjgA5LI3EPyulRsIfim2u7b43kXt/SDpKIlFjQaBYqWwHxkimr4uB/61ueOuttyAqqH6gOTVsa/Dt+aN/kZmggwrholWMXTfAnD1ic1Ftiz1s4yoEaOd9lOUWwePE6gZljDKbzAey1yzUk1eab6eIs/hslVg1l1gwSVtdcEEEFNlWImERkSkpju/5zR2MMzg9MMswg3PRM3Ftqk4sKqkBF1BxbSTAeF8F1Ssz8/7ZG+x97IzmxK9HnKyVjWliKXyZo4pn1Iyp5iPmSimT4B2N2/re87arE6SZcOPDxukKIMUnw1eOATDTkMrRBh7K59NQ1bPmE/GDmaIeKzhWtKHxiwOiRAGVAkkBlIwJmRsG5HQS9eIfCffEt8cY8PvqWoGZCvwezzrkMXDhGCSPcG9LvVGRWHwXHFW67yGXloVZ/OiZBdSvUYbHtpsQpJpc3wFYXSDKIPrYuudNiWMwcZuvHmCmuiawziu+iLH3Ua4xAW8ADrJnLmzp9exILGBddSwYVR259Jgnc3VIANfeWsPT5Hv589u2xQIK7kyGlpm05RI14Ngd0SV8jxqNNUxrrdjPZ2jSzrxPPubuhcJYNklMbZ07ZqvW4n/cxBl0ALoD5Jkdr4F7PHGPHNKkpu0zXQ0TZZWvqg5O56rMkXW5uOG5taa+1Usnc0UFZwIHFwL1uJ4JeA5VEe3z/q21oYmPTBiOqYKccsP3juiUgCHpvUmLCr1XPoMlI1rWrvWVMcTHtJvFCtfBUS2eCZDwE+gdNpRtG0eiqHtkjbhMeKaYeWc5aS+BV5rFITwmWFqA3vcZ+y19X1c9t65lfKKUpOmhfXuY6sgWcE+RG0JqHSk5K37J4SbLyd/Q9j0OMcjc1pyLNbBn/hxxV01jeaThMgFK0rQrQ2ZMfXp4u4kpDHwhtl+PeT97G1pqmA2AWmEAVjWNoYldN7Tp1+6R/y0YHmM2M+EJJRHKJ6g2r0xD05zJQ3pv1C6WH1/RGyDSrb5CGUmEa1HcrB0hs1bJ4R/ecxwkbhoj50+paspZmzedZqY+a7DcF1Wd+snvwU0fQ0etNQ4xRCqenF6gDFIgT25N+ArIvJDIrCGKVA/fDEa9FAVa0nhAmLquxrWQyiItkFcZJ66KUxC6eDrO9digw83eTGaqAqftiU9oMXdfRjYoRZYZmfx2d1Af2juFoVaPkNhmDU/lzAN+LluB/DPyrdxk2/fn027zXNRaA2NdQJblHg9tNykVSVOWQxUagsV9a3lwJF4yjxHxXkyIDp7IDWS4zHTzKUzTquUxJwvOWvfUrQMchwaUDcUPU9o2z2nqLUyJLJgnXxOq0y7l6BNmzzJrUhvHccZgTn9Z7zFpxvQc2VkpxSoRBjBPmrF5KaZtq9N8ULAf025wdG/xM3IOPDHpUTqHpYY4aWo8ZeAvVaDoKNUIIAQIGbiyVCQZQiAJt4SpzTng1IClFDsvERnU51NXZ/C8YqwsHPm1eUwOtCX4jJdCsJpMAKGF8s7v9RrbNuKRIoKyyeF9jEEZvB3nrNacZvSCZTfYypuJuRgISaDc20hTy20Ih6T3V8AKGAlpmY8I06Nl+QxjZvm+dOkU4aGtnlUpPExy/p72VLQNYVHN3DmdIqACdi2D+fq5cTJnXJb6iSEYR1pvFc7U2QnzRlkCOjcKmAefN48MaPBCmUJdHmaaLCcqNfFGPGYDmlNTMFx1Tl8a4Mw60+vKZnfwYPQaNTRc9hgtzXfGIeyr3cxuuxYwM7rD+4NRH17dla9dYzdYFoTc7zxeAOIaEEuDKTJvDQuh0XHSF70/ah0KxLYN5wCCxdO2rWyWYmQmnlDEH83O2nmkRwjcwBQSnJeCMHERznEsFYVk3Qx1bVGfPTaZ+sOuDn5gDWfvVdXqqAu10mKuUIcJVSNvbIOpbTJdvcjxxbmoSZyxrH1cncrFzbDxV9SU9l6VkTNVxGiTriZ8jCuqV0sO7WyD4oea6xAc2Mlgu2tpBr3toPFR3MN2ZTdU2aLILwCrsKMFZfMNuPCy3BAr/YRRKOSFIkjXfO+VzKNnkyeM4DT4GrEqw3ZeswQmuDCD4RQcselZe9rfgWMk1YkXQCKTcsZJQaJehHt06k/czxMNM0FrqT+IRdDV05SL98EXBGuCAi6E++yZ0ZRNSYdIcVkh/4RwStbKPgLx40zUn5+xzHQWdmtQOgo/Ya5/Uvu/cpYOMIDuhWAs/3Ib2mlcm6+v1xh4zgYvE5ohXK1Dag73IDIueL2MeUyOFhA8nNbJ9OeaEhPmcU/3YtOCpixNca9XmH8mbzt+R+ZUytjkASDShGJxOXRorWFDvTgKGd7n4td68RL9RCZ8AMweVxa6jHuy1hrRfp9o/16ui1VEgAUfHQPc+f2c3CduchkNyFoxCwmQtoIhE7lpwv0eGVuWUlLwe06vtrTgmspjerywGqfHZ+GCySfN5/eiD8RSnSZXPMPCsKJxVxYO43fzPNByrMmJD2034bFy6AGYvZh1xfF1fo6Tv++7ZTsljcUBAAyNEM8ckXrjXuXwMwZu9ULl58XRuwI6a4rM5OfPU/hXoSRN0LufJC8SJpOzbozIcFSIybiYMs2wjuXE2WFUaJ6cnLQouSF3lA/v078LrPnAdt2TKTzEsApPHug8+MDQBJkkHK7zsYmasEO6z3xiKLDio0xC5tfYR/7k9TO+iz53TJxYbutrzdNTwrR0r/6no0TSmPDxXLzM0Tit48dnyaeljc9xPMeJYKZdDS5kvJvNdx6Xh7brmsI6grs9E5Ie8qhOhuaMxtV1njkaG9C1AFs4AnubzKMqcD43xynF6YwhcPZlRfGyQAP4sx7nMNdmoiQwVjat5KXo6fV8ygSfGZjAfBaI+FzySIfDoJZ+nExUaMtkZp+1MIb59tSj6XmsZ6yDsWopmtt5cT+s3aQcN3eRZGwlkAkwHrWMabjioDPO4Xv5nll9c1CB42S41lrUMwZY92Ge/JxlmbUeYJkVK7fV3SP0F+KZQ6BTP9RjjNmsr2P4TIC+mL55vOZjVkh6MhaZn0/VSCu6OnFv6jI91sjP025yEGYG79n8oM8Csf7LA2ipLcbzYCEXAy/puE7GUPzHVbqaVwUT5i77P/XvYugxnbKV+8xQ0/oMFDRiRR03mGorUIuZJmW0YAh1ZD8s42fnKp4nzjCPPcdg98PGuSuImzuKF13rNMGmxi+I4+dtN8ogvQR/4hzN0efZVvVupmicZZO/Z8loOsXUkFj9o1X+0zgT00r1gZ80bxmaM+OWIHcxUoxV1Y69UwChAZ1A9nAKNQ1YPhyI83WO+r/iVRKnrEMmHps0Ky4eutEoFNJhR7kUKRfPP3vML5DGmgvjDyCYV+zRJK7qPbeVeZ/Aa8IQpqE4WfP9M8UBjFz83IfcYjJV0aVPE1nFdrnk54p+Jk0R78MPneJr/jzcqqYMpcjQoJLinRkGrFAhSN+NgBwArA5Fb93KYYp7vzKXc+KO9azZMwf5WM/w6nTDKhwBQGH8zVE2wKg/vmadHtdqABDpNdkMminIPeL3L6/F11fPcdYK3U+oEC8dZDljubJe3Dtd93w+x+qPmqv2ZsQuzWx2O24EnulKYe4jZpjHdu57WphxQlkay5TLxjx9Bpq3bYOoTB5pdqTWsX5IuxmPlUssiXNBXSyXnFmitTLBz1I15nObS5y1o6rTjhaqfBtQjy0KgHTKg8iIVQ6clwdLABTbsFFs3x8FNa/a7juFqxSUzUMuvUc2bDYlquoHZXpVmuKaCWaSOhTi5G6HFeMowtJNPXrFSgTUbh5Ict7OAslI4N8I0XEOUYwP9z5KwVatmK/CIxBpQWX89VgTyHaTDNLWmlc2IdVQphBGxlDZg2Fj/XQKUSklToAP8Llcj3lFw6vhP2PWez9DAtcgDi/fW4Ox4mNlj9UtkS1g/WpoOqr/ZefEvudPVQdOEZo7GTG+Lr4LXC3bo9YKsOT3tiG2OsISBaVYpZgxxgk++Pt2mqvGVjt2pmuP830odEaFDMdkPenjsdoKuIFgAZg8HR4Tu2KdFYux0ZOhematBCa7Acm8TmZQvch/9CI+K64VauUmAZ1WfO97UCTZHNR6TAesNT0z9bA6MJZG7VkDHJueNqL2jpdOT9DaGepZqns/AyiAinNxJjis1SqSzKBLbhYG0h8T5usjCiB+xJ0rwMiRtM29I7HyMe0mPBYAtL6jFo/peXLTajbyT7YsKHSnM/7JAnnp7c2mT5NAew9BvMXSQCyaASBSeFkmABgbETIWzH09okriOdUTscM++/OVnC0qePr0qVU05IYJZpxmE+tCl3c5xRjy6YrBh73tUxFhBaIkACmGbp013AfODTcVP160bpLo538hwLPCu3qJSY6ogKyZ6uKBPSumFUA6+J/BqQ3N1MIUdu3QppNHlPvBa5Qye38ss7h+diUsKRjiWmByNHQOG53PZ9T6ZOAtkXBEsvPB8fG7x334OZYAtwTE5AmzT9TyhrxGQiW96yBEHt9ucib0MHmeJaoKLMe2ZYySI+3ZvQ6+anGBn+UpGiFpv/NsZjvVge6/Rm53CMpCQ9jRvLnewYg/9m7Ps5pBbsEHrIYpq8VkHEyB5EIrGHv7njx5YmPDxaMzCTuw4VxQLp4ZuCCSWXUwj03sij6foy95UeSa+I9tN2Hec6PZYegEmE1I3hfHz8dPTiDylqjhuZiaNw+nhlClhDzMpmkIROpbwn6cuKHhLk+CXzVHvjZjiCMnygPyBTCgCUD9cAEH51A/gNM3kpRaUbSne4yMBCCHtXoslkzYrqb6qJ+5/3ns8+8vVKwwYxGq+eo7ezPNeWQOj/KALiYqMNu4TuvmefZmJkOEApE3CczE5TgE3bb9r4OoujL64/UV6/H1WcPMAWOj3NQxju/n1h6vtbaDKdSEC9nk2TatFjtxVqclY8c1F+4ofWnbTsMbTWO5hsUe025iCvm7hTkUbe8QUdTTuon1ErzPnNAsqHw9a6zsRcaZOvFeBQ84su+OKjJDAJgNkamLsdM5e5W8P++5CtcRBcFxQBK6AgCto4pgV8vTgmqcCGvwoCWO77KgSRZekR7Xj8aNJhdlJc1Th/7kbN/HtKuHdGiyiHVsMt1FXlbEiqdWm0/wv2Kq/F0KlU2GXkywXWOmA7Lw2cDWi/7k+1nqTp20Um4ZK0aYJdJ04ByemezC0o0YRKwYPELW6qsWzHluvFeYLe2+m7xMsCHoD8QjezjJr9+81CU2LxWFND4vEPM+ax8fviLAMwLlq9lYTWTBLGj5/fzdce+eBodkrZ+8gEttx++vPNTq4ZnAWNXnUo9Td4B5j+AkqJVEaYelpg1NJLWMayZzlvuYF97R+ImTw0UsHRk6b341h3ymJlj7Q5tCtU1ZGxaKesFM4XgYmdQwcAwmj3Ks2NZAcqYGVm+GBxCUehxsZlu1Ub5+xnsTqO+j8AiP43XyBICgKMD9klJG/nn3A4o9rGlYvXersc4UYdj1wq9MQpq1X+7PeqKZPRMFYT4rOy8mslNMTCwQSK0hlMSnwFhAD203I0jHrwpUm4JNBh3gUdkxHIzo+5cFxipbXA2RjdmhdtYeYEVYQSFlbE+dTZbANpx0gzBWS0t7nydFWORVaCtmLCdeEISd9FCKwhcMn78pmnuqxEy2R7AAxTgsAH44pm8ghQ/Lgs0MQszVbOaAu6d17xYvrU7xcB/hhLvEnSEf7+LhLx5LrACk2F7Pa1AOVw9CA8QlNqZNNVKLmejHwWutWYVkIAKgdtoVAGFxW4X2Bki1OJ0Gc4jmp69aOUZyVhQq5408a1XIq7k5Up80KVu47CQ3DIcMj1T8uAxVxd59zyPGa/xplMfY7GFv9EiiK2VD0+ZhHvuQwIhNK3oWjEmcG2QxwGzih+cosIVaPDWGews7y4SDQeqRVlOTWTVvVHzDsDjt0W3hPVK4rr5hdTU/ImKBVQV0T4BSLmNuGUsFw57qQolFiSPZhT/jXqWgCLA7brAVO4B5hw4Qm8zlGr8spYSnBqzYDADm6MAA1IpaRvlHXgva51MnRNIC0CGcPMcaxQXRaouN7FCabUBVUKRDZLOK1HHE3iXRvHJ1HN88D9aMisk84EPbTYLQq31XJRs9T2Z+6CNeSPsosLbyYNGydJHi4LWKAeY5bWbxNCVzRqPxpNFLkE4TNYPbNbExftcZy4WXhrSYgMgZtTLlLY1hn4TBns3Go6OgSEOGkdnhKMUEcH0G9rGU4Zn23tyxEMwnqj2s3Ywgza9FXlSK3wGzlsqrio1bzw1vZROTvtsS4BZayeqpI4hBmugLJHQnoxpxZtzXnUG8J7VVTuHNWpffBxATFrTC5KklraAaaTyVGFD7JMCzx8zXcoltmbDYSt/kxT4EbaT6aGjy4jDmBfIKB/ympkJgK1VElmTmaI60RYDqaaUjewT24ElDZX5q+gxmrERPrHsxrprO0sl9yuZ85sWsG2sa9rEAUJCHth6LaRzynQVz2yrO55GwmCmMXAyNz6tKrTZv2cpaPnveWeiGtpo95yNq43nbdTVWV0z9UQ0gjDTvq8k7KiUUExwTN7iVGAg1O0jehfindccKHQDyIQBO1AbgH3lRvO6zQOuYFJrCgSX5DJaZ2XE6naJ0Y6kFkp+hzOGgfG0A8T4zMY5DOAojB+dc9oyr1uyPleZZ8Szf6z52j92l8ziy4qDlDueMxCOwuK50rshMmAaJ6CvLDmrUobthFVxWU8rcqnyIeK3DueChmnlg2f+j4HNu21bjOr2bIJVimywATDnvJtQbaj3BVldBKVaDat+fQrWh9x1AR2tnnM9PzcOrgrrN/N+YeIl75j5nk7eOrerY55jngQJvRUSqz9l8JtFD2k22f7FN+Kl3tMUjyzggX4ONyWnwgWtTYFfC9FrIpTgu6YHjzEwO74yrW5tRDtm8HGmRtbFiob2PWfij36uvOj/nMLMai6l3PzypVgeJBucFeSMuEw19bHq/iF8OJ4XCZtptCPhwlobvQpA1oIsqkI9Hfki7mWBl0GimcDlQ8sCOD7edRGTKSvDPxIqL6xQ3bIIuvruljGQ81exyO4YCvaY5s4H9yeZnxUy85tFzWL+OjQAFKodNeKrX6XTy1KJxMkW+D3krsv85FngU1M/3GQdPzc/gn55/I+mKS6/3eZvos0DFvd3bI9rVMda93RtwF6x7u1G7C9a93aTdBevebtLugnVvN2l3wbq3m7S7YN3bTdpdsO7tJu0uWPd2k3YXrHu7SbsL1r3dpN0F695u0u6CdW83aXfBurebtLtg3dtN2l2w7u0m7f8AF8fHOQWTEEsAAAAASUVORK5CYII=",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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' width=150.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_path = './CL20250722_011_Co3O4_#21_50x0p5_L_Image1_small_loading.jpg'\n",
    "import cv2\n",
    "\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cbook as cbook\n",
    "from matplotlib_scalebar.scalebar import ScaleBar\n",
    "import cv2\n",
    " \n",
    "\n",
    "\n",
    "# Create scale bar\n",
    "scalebar = ScaleBar(dx = float(20/float(870-775)), \n",
    "                    units = \"µm\",\n",
    "                    length_fraction=0.4,\n",
    "                    height_fraction = 0.025, \n",
    "                    font_properties = {'size': 7, 'weight': 'bold'},\n",
    "                    color = 'white', \n",
    "                    box_color = 'none' )\n",
    "\n",
    "\n",
    "image = cv2.imread(image_path)\n",
    "image = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)\n",
    "\n",
    "\n",
    "height, width = image.shape[:2]\n",
    "cropped = image[150:300, 150:300]\n",
    "height, width = cropped.shape[:2]\n",
    "center_x, center_y = width // 2, height // 2\n",
    "fig, ax = plt.subplots(figsize = (1.5,1.5)) \n",
    "ax.imshow(cropped)\n",
    "ax.add_artist(scalebar)\n",
    "ax.set_aspect('equal')\n",
    "plt.axis('off')\n",
    "plt.savefig(f'light_micrograph_small_loading.tif', dpi = 600); plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d69bb6fc",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "89e56344",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
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       "version_minor": 0
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VNAZKa7QCzSt++bLgrOVw8Ey2MwfD7i3bnritBaOANjBYhXWGMTjSmol75jA5DpMn50IulXXrxCRNeu2dkgrQcc5hrWI+jrTWWLaM6o2cK7UUlDYoIwWqtWXdEmmrHKaAO8ksz1mD9walNKp3jGpQHUZ1rDfMfaSrjjEapRQ5NUpJtNbQCubRs1JkYKy+vha+aWFZb3DG0HOV28leWNdEbuCC5Y8/PXGaLapU4l4wznA8DNz2gjZOTgRveZ0Uw2CYvaEA9smiVafG633a3JgOQYaJypB75rZGtl2u16kmxmBZUqG2C94ZrNZYAzS4XiLkTAfkoNLsKVMa8krJla6E+mGUug9xoaTE9nnnJU94rfjdhwP/+MuVuG30+7/bvGEYOofR0spIjIlSZKJttKy8lrWy58ieGsZqFA2UwY+aXipzcGijWG8bwUijrq1hCI7gDahOyYV9TyhA68rxqBhmTy4VFBgNT3PAOpnXaA29K46ngXUvUGRge9szPYMyCmNAGXklq1q5sH19LXyLgvoVqnVyytKYxsqaMmuSvshYS6czz56yF2IqvE6elgqXmGmlk3qn98YffzpBzpiu6FqWzpM38BGM39hzobTG4B2ta2pXbLXTlcIHy7oXdG33y0LmafK8PA24ewO/LDtx7bSuiKXxft3IubGlSuqNGDvzwdObYhgdw+hwKG5rpNXG5Rr56eMJ6zXHm+UtaGLp5AamNGxujM7z+hI4nxesNVLErYGWIl5jI8Ys45bWaKrQtcFQmbzCBUOJmuAcZnS4YHFao51hvW44owmDZ9uEhbEsEeU0NRfosMTCGAyazjxYcpGle/BGHvZUCVZ+7nUvDMFBbrRchNlRmuxavxLftLB679TScd6xxg2lDVpJgzpNDq+hpULeC2FwMpl3I1tu3JbEnipKa7TVDN6Tt0RMnaYVRSumwVL6QHpb0CiOB88YFNcbeGfZa0IbhTEKUJTS2VOl10ZpHaMNr08TKe68Lwm6IuZCTI3WOzEW0DI/K7VSk0zzD63JUnwOXK47tzUzXncOs8MqxQ8fjrzddkpqaK2xRrPvcks8zQHjDLU2Pn+5gFIMk6Nay22XB6pVGWLOJ09JlbRnfngZ6blhtUEFg3cGeue87PTaOb3MrEVJo6406yaMjVIbHeRWPFqMVaCNnIxaMQXL4BU0Qy6NoDWlNN7jSnAGrUArdd+YfH0tfNPCirHIhFsplFaEwRHGTqmd59PIYXQMVnN6GfGj4zQ5Wmt8eBpw1nC9RWLO3G6R6hT7mlhjRxtNypXZWfnAUiW1zvW68TrLHOq8RJx3OO+wttC6wsdGzDvaGHrtvL8vaDrT6FDWEoIhnit7qhij0UZOiB4LJVYUihIr57ZjFHycRvYkr+K/fL7R2kRH44PGbYlh0FhvqMhDdlt3Pn44MY+ygbhcFm63hA0dusIouZX23qB3aimAojVQrXE6BtZdvl1rNOf3lbhmWlfc9oxq9f6Kg44i5U6MCWUt214oWU6o4CrTQWg7g9O8Ps2crUz+x2BZYiHlIjfhyfN8DNhgZcH/lfimhZVTpTdoCrQTass8OFmNPAV+epH1xdPB04vs41KqxC2T1sZ7KeTU+PJlIVhDb409VlKVfzePlZwrHekJahXy3nwIfOiNJco/C07z5W2l98YYHPPkqKWxpca6F1SDCuhBU6tMXq1RZKPwo72/kjutQ6PRovQ0yq7UIsvdTqcrsM6Qc2ccAmFwqNrIMaKs5nqO3K4rp/vkfp4GztdEj4XjaUS9jnz6tFCrwliNMwoXNPMUGLynW82X65V4TWit6Q1Khctt47bstA45VzQNqx0VSLVhqFSFrHNo9GbQOlE6BBtpRjMGQ+zQkc+25sLzceDlecRZuYmm/TdCm6mt07WhI034dBj5+GFm8IZJN354HfnjjwfsYOmlonLHKMXkDMFbeefnynLLRFuYR4e3ipQL+y4foFYatFzR91h5P2/Mk+X5EOh15bYVvDccJ8+2CSHOeYuzjX0vLLGgWuf0NDAGi7o/6do2no8jxiiikuL5tSfK99fp6RjwgyX3jvOG3BpBdbRqDKNDA9YppmHm85cbMVdKg2VJ7EtnDIZxshitGbzBBGFqbktiCJbD7Hg+jvc1lSO3RtwS11tiPo34YFFbIbcutJYuTIQwOjQyCyy1Q68yVG0NtEEbS8qNLRVarRwOA3jLukeC0fRaGZwiOIVzltNoUF2x+vTVtfBtb4XW0JRmOAzMp4HjITAOnuNsCaoSvMGOBuUNSiuoFauFa2W1ojWhwyruPCbghw9Hxi0Tc4HeqBValb1XpFFTYXCGHz4emMbAZUmMPjAPnmUtLGtGK422YBRYrfGjJwwObTXBG5SSCT2TzLdUh5/jlVL7fRErr/Wn00zKma5lSb1vBas1CkXvgOpMk8dqxdkIJchaQ+3Crj0cAq9VaMWlNJzXPB0Dx0mKXKvOGJyshHJhTYVty/f+UL70D8+anAspFow0RIRgmL2laU1KGWs0xii6k/HDOHiolXLfhyorI559z0IhNzKF711LIScYgmOavr48vmlh/fBhYisdPwbGWXqonhJmstTaeb8VPuwNVwttL5S90jsMg8MoTWvSm2mtaK2jFQz3mdeyKfY7jaQ1UEajtWbZC73D22Xn2Rpq62hkqTsFTYpKOFvB8HwcGQdZeKvWWM4r+51+a7XFWcvgHTkWTofAFhu1dnywWC1M1Frgl7edayxQtKxBgD1VvDNcauT1NHI6jrjBcZgDwWm2JfH+vlBLoxXhgG0x0ZTmeJiYpkCNCW8VujdizmgUwxAoLUJr0DSjU7w+D/SmpCCCFRZHLhjnZLYXpKczRlZPx9NATRUfLbk2tLfc1kgtXVY+XpG7Yt0Szmk+XyJjiGj7G5m8v74Efvm8U3PmGEZ8q7y9b3g6Lmg+74XJdJ6svl9xPal3OenojPOI3hLOGlCKMTgUminIonVdozAcS8NP0jttSuMnzxoz6z++sZfO4C3Pp5HZa6LX9C5L2NenIAPALclro1TG4PC+oLRGGUNKslx+eTlgl0gpneleHE+HgFaedctcb5HUOu/X+NflbgiGp9FTa5Dru1HQYd8zn99X4pbpjb82+MtaKS0TtOY0C8dLGUcqlcFbDqcDh1sh7glvNOb+Wg9Wk5Is+g+DnIpve0aTsfeT+eU0MI6Wy03GEaU2nFFM08BeO1S5FLX7mqxVRWyFXBpvSyTtmtePh6+uhW88edeMQ6Aac282pYdalsjYA3sp/Lta+f3zJL+Ygy03VGlsu9CNh8EQ/CD9Sa602kh0lHH3VY8M9miVkg1KKW5rht65XXdal4XtYfScjpOsmLrw8U+HwGn29NZ4e19xzjAOmjHIcDSnQrzz1LWSnaXSGqPAINQf76zQpI0ShsYqi+E1FcbB8Xyc0EZIfLp1zpeF2xJ5v8oJYa1m0tKsxwo5Ca35MHmkO1Wk1KijYjgMfPz4zHLb78NRDR3qudFqJ+bMYjTGyRuh1sY4DoxWcZwCwSty7ny5bKyLsFXd5KmpoIFxcMQkYpPjMbAsu/RlSrGXRvl6ZvK3LazllgjBk42RI7chtAzVsQY0hs9fNnqVE+SaCs5acszcbpmmFE/HwLZGbmvCanNf0xSMNdTayRXmWdYjcY2U2lnur7M9tb++an7+vPDPfvfE754G9j2zbpl6/6R672gtxT+PnvfrRonCBMAZUmmMrVNSpSk51XTX5NpwRVFSlgGi1lgNyyanqPxVSaWg251RUDuXS2TLBaM0tM66JbwzpJSFqOid9IK1YY1CWUPKjX/8939BO08pDaM1wXtqbXKjtYZUYNsLriuKhpQa0+A4jB5lNN5apgk+XTdS7UzWcbtGtjXLiseAnzzjaPHBUntg8IbTceS27Jyvv5HJe6mNum7kpijR0YMleAulkrbG6C1xz/z7W0Jr8Mbw8eMB6yxZG3rrLLFQ+VVKVklNlsHbkhmnQG8RjKbVzvW+0jAoSm88HQa2LVN7JxUZcuruyLHSK2xbotNRxjIeZFhoOhzHgPWNXGXM4KxiHgPLGqW5tZqcK798Wfnjj0emaUSx4e4ng7OG6yIjgXnyBGsYnBN6ilIYazh4i3OGbUvEWGm105uMLC7Ljv5L4zRYPvyzV1IRRdH1bWWcpFg/vy1Yb4l7YY+d3ivTHHB0DI29CQet14q3Gq0655jpRhOGQPy88+W6y4A6FYbBMMwemlyW9jWRYmEwmt/9MLO/jNT0GxFT5NZRuZK7ojcYnGFUIvjMueFGzdNh4N//+UIp4Ac4Ifz4ojdabnhnKaWya5mGq/7r6VZxk8J5WWbHqGSpOnrmyfN23Xl6mii1sa2F8WnE+EBV0uSXWrjdIi42xtFhHNRWoSt8MJyGiS+XjVY7pykwTYY/uBPn687gDJcYWdfK5SpjBe80r4eRn14nmtJclkhrnT98nKldhsXrnjlMI1VpWm+Mk+fTLxfOpRJLpTUotXBtlZ4LJTn+WBGlklOsqyidDseR9bqx3OTkua0bKVaaanx8mjgES90K57Kx5sbgEnFXqNY4HAODk33kfpeLYRSpdHyRNZOxipoaKRZ21fjjTzMHP1Dyb4SPlWJlmhxBy/hgGCw/vB4gyrjAB8MHPxFzYYsVbS3GGaDincYHx7YltmWF1qT/CI6GPMGldRqwLBvrLrKn3/94JHiLQsYdzmicsxyPnjBY6fWsI/dIKrDXQiyV56O8LoQio5gmIbx9Oe+4wTAFy3F0vL0vbOuGQXqSPWVRVHvD8ynw0+uM9ZrOzOe3VUSzrfH5y86+F1IrlFLkBmc1L6dJ6MAxQ64cBofSsn7aUuft7cqPP51kW2ANb5dFbn6nwJ4yylhyhZgKt3PkebDo0dJawXpDXCvbmlFa02rGe0MYHS+nwLaKAFc5Q8yNWiq5Cg8tBEtrnZw6JWaeDgHRVH8dvmlhTcHx/DRgjcVbzeEw8OF5xDOileLL+0rMnR9/PKG1xihNzIW0yiBuj5m4ZW63RCqd1sD5zOQNe2nk90UGekn4XVOw9Fq5vEdqrvc9mcINMmnX1sp6xWpS6wSn7yMLTc0VNXhu1x2M4bbtxJi53jZoHtpB2J5V5NQ/fjyggOsSaQWMVjwfBp5PAXonlcrzHPj8tlDQfDnvGGdY1kQqFa0U3li8MxilcMaA6/z4wxHrLettpze4rQnz+UYFuUSgabkwzyP7ZSNtiXFw1FwxSrOshWlsxL3IjZaGHx25NG5L4bnLLOvH14l3K3vG3LsUVYNaO02Bb5158hil0E0RtCb238jk/XQMGA21VsLsMFrI/E7LYth7i1KdskVKa/jBMmvLuif86LksUQSaUfR7pYMJjcM8Aom4ZorqBONQTjwIci5cLzu3WHHeUCuEKv1cq5XmDKmJJ8HLaeTQO7V1gtUEZ3Be8+ltZdsTMTauS0YhtF5nOtMQ2EslOLkFGhSNzhC8FHLt3C4772ukKsWXy85tE5LeOI+kAil3Gf6anQ/HkefZ42KlDnLT804zPo8se0EZ4ZdpJ0PklBuT1gQjLIgUE6PT+OcZ7y3buvPLp4XrneWAFr69846cG5fLxvNxwCnFcXLk2jEF9igjiIaILmpXPM+Bp9PE6RAYnOfnz8tX18I3LazDZFnXyJ5F7KBRLFtmL8L83PfEeRFPhVI6216Z5wHnHYNzfI6VdcvsqRJzo7fGuhr4cOBwGolRKMRaNnXCBChwXRO3PWOS/etMbB0dOXtKkVcOtZFy4TQHaJ1gFc50xsFR6oZrQjLUWqGtAgW1NowzWKWorQttmSSGEFpOly/njffzyi9fVrrTnNfM+RLZciXVJlP0mFFKi7hDwek44EIlJ1H8zLPF+7vhiDUM1mCcJl5Weq2YweK8FX5YV8yDI9bOXjIxVda0U3on5YqzhpoyYQhgDbXdeWJa9JC5K97OERQiGq6NrmTnWFsV24CDZ5oGoVN/Jb7trrA0mnyH3Ba5ZfTesKWR9kpXjVTh/ZZJuWKN4empEJwm7YV9z2x7kZVFuTf9qbLvmfEQ0MZSS8brzr4XlLM4q3g+DXSlZWmsFE1JEd9uO6VUpnFEaRkqZluhV5wylCIUmeNpuHPkJ06bFEFt0sOV3tkuhdo0W63ctgjIGujcKjVncu18ue0M88CeC7XLPKrGgnIi4NizOM/EXDlpJfrG08j1ttMqTPfBraqV8RDYsghNzaAZgkN1aQ1al51XTpFgDNlqLrucwspaWdDf+6vjaRDKUO1oo7itO9pZUkq0Kp9vRMY52igua0GrneU58vQ08vw0f3UtfNPCul7FfsiDqGMKfMoV3aC0jrMaY4UH1BrsObPnwmFyOCPq4dYbqoO1Gm81rRbW20btlTAEcmvYEHBV2A1+HvjxdeZlTexb4Z8+36BX1lvhC+CDA1MI80hLMjEfvCYrTcvC7nTW0VXnaXI8jZ5cQauG0potNW6rcKtyzFyXJLRfFHrN1NFhnMaPAxhLb9IwK92xaKbB0VD88r6QcuWywrQmnLkreGrldmscn2asNlCSyPdrR3WYB4/WwH3Y3JWh5CJ/7zWnUyCMjjVmWW+VjvcG6wy2SEvxflmZZs+yFdqS73yzhrEGilBvbnvmthaW644FnLcs8TeyhH6/Jp6c4TB4LkslBMO+i2ZO+EINpzTWaY5HT94Tn953YiwM3gkf3lmcseQuK4sYO7k08i3K+qE0ti58+pIrw+B4fRq5LDuHOTBdVhHIBk2vcsNZWhO3GrpI4YvGGcNtTyyxcttlHVMmj1ZKSHre8nZZWdZCKcK/SrEKv92Ix8HkDV1rhnlEl8q2F0ZvqRUMleM8MI6eLRV4h5IaS+l8Oe8Er3l+nhmCZV0y7283rFJMgxffKzq5iNdEzZW9i6UAzqDuF4CuFUOwhEFhvCWXFaUahynQtSJqkZ0tWxHCo1JcbxHtNKXJLEwrMIMn7lW8J5ZGypXblnFG8598ZS1823FDqSxr5jgNHA6BYDXGytGd9oL3DqNg3fp9rzZyvu7E0tliwXnLEJw05U36BbtE4r1JTqUK5aTBy2mk5ML1unLxoEpnTZHnpwG6IoyenCt5jyxbpJbGPDhyFU54QYxH9hSJUbjntzWiFbTaWGpj3zN7bBwOs1gMFRFsNDpKw1OwjIcBNziWt0jORWwC5gmlFU11puPI9S/vwH1mpDTrVohJbpjWORqZ5bbz4+vMjx+PuCC90XXJcmpNgZhlcd26kh50zzinGJyha4WqjdPoab2hkZWRN6CNnLrOwjB5ttxRqdBU/6vwtRjpS1PtxJTEbCUKc+Nr8W0573daLsgN8TQaLu+RL0tiGC2nUTwScizsW2I4DARvqVp8FqCjDdxuO5nOPHhy7VxvuxzdWhbS3ipyysKKAC7nna6g5MLz04w2oLWmWsU1FzkBS8VoRxgsy5rl1jZY6Ut0I3eh4hjUfS/nSKmhTOflZSLXwjTMtNZ5v2x0UTHI7CdmQFNqY5o80+x4eZp4u0o/1qr0XNYaQrAYLdTh22XjdBoZvNCOUQp/N27bU6Z32GMiDJa9VPwgroClFFknWZHLO9cxdLqF0jWlViZlcKeBpiy364a9/z6tdRm1OE1p3G+eldakB2xNoZ3mFkUF/rX4poWl7x8MdI6j5RAMX+KNtGdRFZuK1UL4f39b6alRUifXgtOOeGdqLrdIRWGbYl0Tt0XEodPgpbC0ktfp6JiDFaJe7/gGvTeCMZRS0UZeFzY4WpQLgzKG1gsxiYYv5UpMmVwKDhicvKIOo8Nazc+fb9RcCE7xw+sRb+CXL55//PnCvmXikMhRsaXCHjNTMBQnO8HrdaXc1cqDNzgtvQ90tFLiAXYahUkbhf6z73JrfrvslNIZveZ83Xm/7SL2yA2vFdNxoLdO2hK6d7TV1HznqyFzsjAYlty53RQxCsdfdemvWmuEJgrskitxKygaRivGKQhh0P5GxBRzsMzBYumY3lBFuNtlq+y6cDwETk8TtyXz6byxxkypwmFfq7Adn46eIVgua5IGVAlXCqN4eZ344++OOKC0xsfnicFq/vGXG7k2UuuMVhNmz3hnUy57Zb3t1FbZtyrsy1oomzyNKVZyaTKxNzL9L1U8U5UWE459i6jWocnw8fl54vN5ZbnuXM47Coi/TrFzZVsTn9uV5bJzi43aGs+HQZbcWtZd5jigraH3jneyENeI+GNNjZhA0QjjyHbduF0TuRZxItRiE2C0opXKGCzdavaaaLmw750zhVczs607OWc0iJ2Rks/uV75W7x2NwmoFVqOVZRg9tSvS9htp3v/44wROc5wC3lpKyVhrOB6Fv22d4fg08C+cJf6XP5Oy+DEMXbjcSsvW/vA00u5qlsPsONwSGMPH14ngNMfBcl0izilqKVyuK6kipLsGud97jyo9kTGKMAeWJWK1JmhxEaQZrBGVcgiWMHl67/zp5zPHweMGz3KLQEcpTWtXlsWAMrLwvkX2XLFKiyLpvsRWWhFTIRVRPVuj+d0PR2JM5CK9YhgcLVV6KigjRr9dadamSR26MdRyX4zf9Yjj4Pnxh5N4LdAIwVKL4+6IibOG83WnJkVQHmstrStKFtbEeHBspWGTxXnDdJzkwd0TxhkRihRZiQWtUfk3soQ+HQOpirp3T4XJWebDgBmEc2RpjE6BVxwGx6coNz1hOjY0kNaI8/ensVY+/vTExxeRSE2TZdRyhY+5sqyFtEcul53Y4HAc6NedwTucMex7puaK1xrnxRxNI4Zvvac7J0mjjUi01r1QS+Z6Tbx92XDe0XtjTTLb8kbzcghMg2WaAy+vE+t9/ua9p6XKOA5Mk6cDLhYmuAs6PFMwpASxJMLg2ffENN7FqXetpemKTsc6KMrKmmtPDIMX3tQcmOeB83WFLjdjVSu9GdYts6yi65xHx5JFfTQNTvQIiDeYMYZYu7BiDx4XDGFLXDdFLBaNwikYT+Gra+HbzrHOm/DBVSEqhT5NDJPHpMzvX2fiFvnllwulygwHJbMauvRnCmFc1nSnlDQ4jBbTO5frTs2FqBW9VbTWfD6vMsGvCoyRpzNlzueFYTBgDN5pBi/9GHfZ2Ohkwbztia41pUNrVfhRTay7Yyyo1DBGXnNQ2fudMu0OhC7qoNph3zI5i9W2LHYrrcM4iOmsNbIrMM4QaJQq03h6RynxQE1JjN6UErmcN5qWktwEixD9gw9oGiE4LhdYlkjPFW0Va5Ib+R4ztI7TnXmSPtEG+1/PEp2hak1Zskyye0PpjnEaVw1VAb0RrGH2v5Fb4bbJriu1xuwdKWW8cwSj8UGhuuXz+8aaOqWL2jjGStkL3liaAhfEEFclsBrWdWeyYtS67wptNNYorDF8+nwjdUi1Y7RY9GAs27azLh7VOroJUS84ww8vE58vO1rDhw8zP39unK9ijCauMxobPAdtUXqnd1FX6wYxZWiwO81eGm7L9yYYlNL0VJHZE/SmSCnLZSY4UNytATIG0NqQovgl5El8WY+zJ9ZO7mLFZLvoLdc90Y3GeEcYPEbbv3q8Wm0Yny1VWd4+Xbmsd9+u1vGu8vntxjR5jBHBakqFGsWW3DmNseJxEdfCtosx7xYLqjUsnUH/RjxItdPiuxnuT6qVdcRwpynvueMHz3nfRV0yWII3LErB/YmqvfNyGuml0FCkVJiMJef21+O8dOmnUiwssYLRGDTBijufVp3rZeMweLwxIpUymnVLxD3irGVZZWB7W7NQVLrYJAVvGIJh8gqrNH9+3yg10yqyLlGadYv0amhFeFmtV6xWOOdIpVDxmDuFJ/dOigXVJQBg9hZlKl2LX/y2V2avyTXhgufynmi18cNpZJ6DsDFUww/iQpicmI4YozmcRsZ55E+fFtZbZN/TXXja2aMmZocrDaUU2ilybVil6EpRWsV4DzTm0UHtrNsmo5PeSVaz/kdIob8t570h5q1d1B+lGvZYwGlKbvz86QZWNHBbLIyjx3sZQ8TWUL3RMuRS+N3HowgW9sZNFzCG3qRpvd4SdXDiPdVl/ZCTcOR7a+L2hwKa7A6bOPidLyvOWXqXrf+6RJYtM40i3//1tVlKxQ2O02HgukXiblBOGBqaX9mtHaUUaxS+q7Oaw2ki7hGlFCZYammczwsdSA32rTCP0n/1uy1ma5GjGzEddK3sW0QrQ1OKdY/o3igx0o0EMrQuNJc9F+qWSRXO54V1zaQoCiaj5YYL8lqFymBEbte0IlWIW2L2Gjc5vLf0YyAqSEBvUsjO/UYc/SiNvXdOhwldGzk33t93fDDsa+LLe0T5zGn24o15N7EdnKJUMNrI6uF+tVetsm2ZVjtrlIFhq5WUKvPgOR4G8Xmyhk2JXKwi/qfH2VNaY43l7jmvsN6JzfQUSOcVbYz0dkoxH0a5ZdYq9j9aEazip5eR3o283kdLK1Wm1f3+GuyIktpbpuMg/upJvNlzlHSHVBo+3R+2LgVZs4wncqvU0wBOE5zm49PEZa9ct8RoNT54dKqcrzvz0fH5ljgqy7pX9mXjRSnynnBOMY8eVypGK44Hx9NxIATP+RbpHdz9Zn67RFGsl0bcM9V0yl/ldpZxurcR+jfCbgjBsK6ZBneDWFG7xFR5XxJbrvTe+eMfJkxrfHnfaMA0OnKHwVqUKYCWG10SXV8uYsvIffI+j0oMz1KWZbDSjNMgs5hqeXmZCVZzOyc5xYKTOZERXr29v4aGwXIYHUrDuu2wiVe9NZZxHvjxZean1wnnL7xvWZbDONCGVEWd7a2i5EwpgDGEyXB+u7Esuyx7gVTBlIpVnVYaLy8zl1bRGa63RC4wHRzcB59b26mpctkL81E811XtrLdNTExKY4uVcqcWz4PhOJ8ovbOu0vA71fn4PNK1mO8ua8RaaVWcUdILVyB3FEJLDkbTBkNwsmTfr/Gra+GbFtbx6EXIkAvmONJbu5PNdtG3dYXp8H7ZOARDjIU9S6pEqw0V5BRrvd0tJTvKykwIpdFK8/RyZF82Ykxsa0IrRb5P3HEG5wzXNVKtEZONLj4EzhmCEa6VVyKKHZzhpx+O9N643aJI0ZQTL64qJ8rTwfN6CkKGy3IapAYtgW1iy9RGx7pn1jVKLk6TftAHj1WNoRc+PE+EYBm9Zp4M3ky83RLLnrhticPBk2pli4VDcBRt+XJZUGvEWc3LcWArlXUXO8je4HgIoOH1Wab3tXe2LXBbd7gHTLm7+866FFqTqb+qcsnKSV7jNhjQGqMVH55msTlXmtv5N1JY3WqenwauS+Jy2bitEiVSU+P9GildeONf3hbS4Hi7JtzomYOit87tJuLP8W60sZXONDs0BesUYfD0Kr7ktXTQEAZLTEWsgGhMwbLfdoq19DslUKJLPC/PszjklcowOuZx4HgYeb9t1NKJeaPlSgiWHCt/+XQjZVmd/OoE7axIusbBQdM8nQawhvVPZ85fbhxGJ4zQwZGTWF5Pg+H1eWIeLXmL9HvKRkiVeQxsqZCyrE9KrPzwOogteS+st8gQHB9fDrI1KG9sqd5f2Y0aO+NpFBKghuY0q1J0o4m5s+yJX86Oyyo+pYPXxPXGTy9NbLedx/oAvdJ6xTnHEjdqzjT1G1npnC87wckH//6+sOyVeCeU7akSS//rzQ8lPPRaO14ZxtGxLVmc60bPrWysayTXRtDi7bmtG1VDzeKsfJg983FEL5H3cyQ4LXsua7hedwpy3e9KseyJ16dZggGCgy2z58qhN0b/Xx//pTX86MXR7hbJrWHuESC9V8LgabGScsYFdzeaFfVxKpVWZaXU0dyyMDU7ks/zMns2A3ssDHenwNMh8A9/OfPLlxvPTyNrFLJj7ZXgDO+1cVsip2Ng9OK3BYk1ZyanGL3Dmk6ssudzQZylz9ed65qYvePDUTMM8A9fPIdp4fDR8jwrPr0pxsPfw+hxo5i6fFlX1sv/E6urzMS+Et+0sP78y405OFpXEiBg4ZZE4QxiF1SK2FubIdB32avZ3jg+DwxarCGdFqZC3HZKKmzIcrg1cEZhEcskfdR4Z2mhMR8a4+iZBwtei1d7aVxuG3aztCwT5Y9PE3uuMtQscnrIK0O+/Osqt8fTHCiIlWIpnSk4ahUTOTdYXBKz/7RLLqOmQVf0/uvsqrGsEXOnZOeYyYPmukTxH20dqw0hOErt/Pz5Rm7iN/pPf74QvEIZSeBQdA7TzhgqzsLh4HFGcTpNjN6gjGI5y1qrZ7kJV2PYFgl9+sNPgaYs75viZaxMg0j6S5/4+3/9r/h//cNf+Lu/+yN/+tMvvPzwO/6Lt/+KlOL9xvt1+KaF9XZJxBE+PI0cjiPLLeIb1FTAaLyGIciSOaZMjJnc4DAafDAMo3gJXK+RbS3SB1m52lsFW2kEbXFOMyJMisNkGZzCB333Gu08HUe2WPiyZK5rodZMGRRxz/Rjp5TCPDh+/nTlPRd8cLw8z7jggQtWd3nNABpNbpnYuBt5FHEKjCLpslaCo9Ca+RiwStFq/6teTxtNB27b3RG5dq6r0JmP00DrmVYLl7WQ6sLpEMg5UZWjl04sUvi5gUqJafDs1x1Fo8TE3iwmWJQxrNdd8hXvFya6QjmDDQ5nLSEg8XitcJoCzU4Ya/h3//AnzpcN6Hz48QXjLKBRv5VXYUoVbSo6GOaDIe+SxpDvotMweOY5SAhlyujeRTuYGnsqjJP4YFoF3miYAx8OYiuUS8WYyg+vkxDalGI4BObZUaOidVEAOy3c96fjyC+3TNO/WghNKNW4bfEeIaf48cNMjZ1fzhvTNPD7j0es6sQsLjj0zm1L1NpJZZNX0/sqMvfWGQYn1/Q7Y6GrRlGK5bZLWJXWdw664tP7Jhk3TrEXsRTKrTEFxzAMfLpc6LHw4XmmKBGU5iavXDqkIn4NtUZKkQX3ZUkEV+i7vP6sMxKiUAs1FZRR9LsfLA3AMEyemoSo6Lx4o358eeLnX65cU+af/d3vyCmjFSh+I3Os0QuRrSMbfOi0Cg3DNBuenwac1X+1KFIFln1DsksMt7sB2Q+vMw1FQfHDq2zgb0skVbkBBaNpSmGcoyMsCqM0U3B4L0rloDXrLYoVuNV/lUZd7p5WYRSLyZIqt5jIKTF7w/y7Z96WyG1JXNdE3IQX3+kkJ1ItVTtKa/Y1E4NHW0VXwg7twHXNBG/+ynvKucnPqCE0x5YqLVV0T8xj4e5RKD5eRv6M222TkYgTB5xl2Xk6BK5rZktye9y14tUOqCYL5eYtSiksCnsVA9tWO9s98re1SZxxUuXLNZFU5gNQSuHv/+U/4/PnN5bbxrZEVFtll/iV+KaFNcyOrvtdDKAksXNLpCauc2Gw4tyiFLTG5hSTN7K4LeI6owbN4WkgTAN//nJD604uQqMV62oh9eVc2XfJL665Cn8reEosTF6jeqPnQo6ZKYgvVs+NGBPNa+oGg/Foo5iPA2mXq//Hl5F0568f54Ff3re71U/HWitCid7wxhCjLIetspwOA11raLAu8a+mbQo5yYW+o3Eh3H1HRXByWzPOSdJrAzH9ncRWW9E5zoFWG8EoBm+4LrvMooIkxIbREUaPArZVKD7hbt7m7sIVZQ1llVPu8/vKetuEdWsUf/j7yn//X/9LbreNv/2bv+dyvmCUuAM68xsZkLbS/0p5vW2ZWBvjZMm3jK7iNRqcxg8OZxXBaYagyUU8oCSpSnFdZIH79rby/tb/aot9OAxo6zBWoWqS2DklUSLn646fRgwNlOcQLMZqrNYc5oHBWZYSqYBXSgaGHXESrJJD+JcvCyDhAK+z47psDIPFOuFYtY7I3Y2cJEYLvXmeB1EuZ8mwEW+JxLolEVZ4Q88NY4z4sN+9Q0ttxFTRO7Qq9pPWKA5z4Hb11Fw4zAGlFU+TQ7XGeUnkvYjoZHDowdO9I65iNhKMIjhZulfTSKWwn2VeeL1ZTL4Rd1GOa2/50z995j//L/+J4zzxr/47fyuZOsFjBxGefC2+7Yk1GFqDn3++ytPkHd6KHeLoLb0W9or0WVVoMa0rGlC7Fn/Qa+TnTwtGa663HbqIRX8cvOz17ilfzliaFvvv3Cp76VzXhOryZcUpyNxs8hjTMVZL4qu6B+W0yvm2yXAWKdzLbcNrsC8T4+CEUWoNxiqM6nKh6GDQ9NJRdGLMDF5M1qyRcYerMNYBd105XzbmwdNCZ5gctM7zaWLZM7lWyjVSdrF9HAdHTZmDMzzNjnWTC0OKCas6T6eJp+MAKnHZM21rrFpBFNmWUYpbTAzTiDFiUZlz5nbbWfbGtnlCi6Q7TVmrwsvrCfP//keeX54x2rBuhdoq3t/DFb4S37Z5r3CaHfvnxHUr5FGc5ZwzeK9oRdOr/LL6fmvRHVlfnHd6b+yls143SpMQp6dJCqogLjIuJKzueG14v+cTipweLucNeuPSGuskrxw3OBTCnc+lyanjPQrF57cbwWpylUW2c5JGv0bhxu+pkJOskkZn0cHgFExe0VGcF+Fd5VKhKbSV2GLLfbIfnDg9l8roLWNw7ElSXOfa2XJF24XL24bV4i0xWM16W+7ue573y8btKk48vXXc4Ail05aIumcQplyoUXpa1RqX68p12alVmA37ViipiTh38jAY6I1uRrHrNpr/zf/uf8//8H/0r/n7f/aKqg2rJSLla/Ftl9C9M47i/Hv7+XanunZaLQQfGKZAjxmqZD2vS4ZWiVnEDErBukVRolQoGj5+mDnds/5uMfPz5ytPTxO3KovedU+04R6JctfhSe6zRHjkUlnXSFDCrYqpgV4ZvUNpQ1VK/uzWeZoHuoI1Cjcp3o3ewn05e5g9RmuOs2fL8loqVZxw6n2an5VijxltNNwX3M5KAMDpOHBU0KzEt9mYKTFRY5ET6RCYpsCyJok5AWLOXNZ8p25rzP3h0HSCFfFq3mX0YZSkkUnweRVl0TTggqO0hG2Gjx8OvBwC1ig+LwNj8Pzzv/s9y17uoaQQvGMeDJXfiCmINZpYxZpaaei1sm9CAY6xcTw1vBexpB4dp4OTedMlsd5vkWKmLJNkGyXj8OXghbqslfg1JLHm7oo7DYb7rkzi6gZv2aMIS1NqFA0xiyg27ZFSNHXqpNo4Oscwew5TEJlVzGx7ZtkWlJIIt3FwfHid+fgsTnfzHGh7QVuJvgveonrj7bLxdJSM6FY7W8qsS8Q6y61W0fl5y36LDJPHWdltng4BpyWdy1rN7S3jvfivO2tJqdFbkldpzLh75uI0GIYp8OUShRMfLMEJM9Y6ycJWCk5Pg0StbIbBCkvjMAW2LGpzawzjODJ4h1IQJo/2hY/+N+KafFsSay789DRKU6z0Pe+5Ulth8BqvLXvtnGnMwfL0NPLz284ai5hwWHnStZJ4uOst8zKPDKMnN83lvFNaYz4E5pO+c74bx0HcaqyG1+PAmQ1FZ9139ig0mPkgtJZlL2xxpXUxWRsGy1aaJFIUcV6R2FvuIeniQjwMXvwhrCHVHe+MnB5KdpIpVj6lhWF0jMGxbomcG7d1F3pykqiXZcs8fzyhjEFpQ1dJ7CKXlXgaZJSxZebBcRiEXhyzUIgGZ0g58x/eRv6TfymXoHkeqFU86ZuSk2341TPMGabBY2zgkgylROomWkWrFLVU/vZvfuTjj6+gFJ/+8plOl8uU+Y1Qk29rokXF02G4q44RU4oiv/QwWqySYd/1VjHGYL3lePLEXLht9R60bUQmVRv7mritO892QnfR2ZELe7Q45zgeHJPuHMeAD7Lv+3jyDE7x8/vO2yVREYlVzmIwdl6SJLZqcTturbNtidNpIOfKOA/04hmC8MOGO7U5JjH82PaGsoHh2AnXBBqctnSVuS6RLSXK08xlTShkvWS1wplA0ZV1zYxrBK1JMZNTZVnOtFz55YumaYO3YrNpjeY4OT6dxWlnGgLWGPLlif/8T0j+YZE2oDbxverNUPqRUjtmUZIv5AN71/zbnxV/+iXyP31RPM+N//v/5f8ISqyZYuncbguzk2S06/IbuRWWXGnNsBcIU2A0mrILUc/cxRPGaOKe2H/1UL/H8c6zZ73Pe5RSKDqlibXOuiY53SZHHSzLEskp0iMc5pmTd4yTI9XGsiU6cDoEzmvCWnEO5s4kNVokXzlnrLGcLxvLvT/x3spFoet7upilK0W/jxBSynRtuN1W1ru/qFUQnGUaLOuWuSyJ65oprKyxouloLyOKmBt7ivedaQalWddELU1id3PnyzkSBguDo1ux2/7wMrClhLpnER7mCf0PN/4n//qZt+vK50uk90bJldsahT2rNUrD4C3D5Giq8X/4v134m9fM758dfjCcfCO1T+Qi4Q6XNaODBEedb5G0/UYKKwyOZjUxCeVicgGthchXkX5HFZGGKa25/tV1xTLPnss10RD6B0iGcb57NjQ6T4eRlBNGwV5kmz84xeshcN4i7+eNt9suV/rJ3YMkO9M9RzGlSsmZXqXAh9Gx7vKFzZMTaXuusEaeXmYOrwdp7nNly1Xk712m6ZfzKrG5weJ0Yx4sYzAEZ0hRlMW9NTBgrSU4jUV4Z7XJA7XFTMoZb6TXqk3CMU2u3FrlfPXkwYExDGMQEt/TgLGdf/V3UEvEUEjbQiriZqiUTNKd0gzOEhyMuoFO/P3vE6bLqKYrsS5Y1iTjGaPASYLHtt3Zur+V9C+jlaRsnVec0QyDJ3hLzJUUC5eLZOntpfPxdeDT5xs7iucnh+maMVhK77R+39UpKKlwWxRvbuPlOPI0e2Zn+MvbJjElSLxHXBNfvlx5W7L4l+bhHv8bOE6ekivXXV61rdc7ZcWLb2dqjIeJmjOVTlUwP8/4MDAMhSUu/PJ54XgYeH0eRaZ291kfBsfpNPJ08FxvltFp+mgpXRbm6p4iPzlDGCzrmhitxQ+OXIURgQJlDM5LYdTeiWvhly8rgzMsMRNzFauiWJhzw6jKl/cF5wy3NVKK7GSNNfTSaFXsx7PLOALDPOC0pFNZJzbncc8i0ChN2LCTZ4/ywB5Gx/BbyYQe7rZFy1pIWsOPMjRct4zTsO6F2ybyI2UkERVtGDuMyElVSqeXfvd0l3lKzRI59/6+cRyNLKZb4x8+LZwvG8+DwVqFt4aUIsteaG3DOMt0HPnwPFJiZk2FVhWmyljkdBhgSbSc/mpTXVOlektMFdM3tmVjWyOXXEDBh5cRqxrTYKhVaMk5F3K1HCbLx5eB3GWwedsyqTZGZ7FKEjMaYghonSUMMLqIM5o1l3tIeKchsbrvlw2nRemTa2dPjfN143QIXJfIboRoqI1hXyJ7qfdT1IOS30ED5yXStWJ0Brw095fbzh4LozUcDoE/f75Cg14qls7HD7PYL30lvmlheS9at5w1BVnItn5/QoowN5c9S4q9AnMf8C23hJuEL1XvpmwKKUpnRY4VvEFrkYh1LVbc4l0gaatNa6Y5MJw3Wq1se8O2jjaGWCq1NbaY2bMUVQhCXVZ3h8BB/yookBXPer5QlGK77RitWUvj0/vG8UluqP2836NCJInrukRQmmEMqCZT+VzERM4YxdMUsNZwWaJoAo1wz09PkwQ0nVdqicJ7PwT2Xfyp1i2Jv0TtGIQkeNsLlyVJFPCdZbHuVUI126+Fa8hZiJZ5LZi+o50m308qY5VEwTjNy2kg10JtCtUsdJGEDb+VsPHDFOhoQvAsWZ4eWv/rO9spzWANhU4YHa+j47xEWitopM9JpbLfueXOGqYxcDh4Xp/Ec+svnxZKbsItt5ZmLNcsS10/GJ6PQRIiauN82dhjZV12Wq2cb3fr7UOQJ711hsEzzwqlDUNXDKuMCOKS0F4Cu3/8cGBYdz697bx/WTk+BRRiyT2PDmM0b+eNbRdJe77P1RSSV6OU3JQ7jfGefKF7v/+slVIrP/5wZDoEztddxB53rrH3VkINOnRlZCa2Jc5LwjknOYfWELxDrxlvLccpoJ0RRkiseGtYYuNghNd+XSP6HnLlBs8YDL//6cTlGjncv4NhCiy/lbxCra3wy4PjNHpZml529nvI4ngKnJJ4UY2j5W9/PHK7Ri5rZPCWuBZu251rrTQuOOx9qT3NA85b3v7xnffLzuuT9FDXJRJLRQGH0XE4SGGlLE/1ukTWReZY/VeGwV3GrhHxq3UWOsRSUBrxetCKYC2DNbycBg4HT46VvCcuveGtJMq3DiZ42pb5cl4ZgkUboemUIo56JWtqb4yTwznFvoudk1Edq8QdWlnNMDmWPYldt5YZnVGdKUgMHMZKmOdW2LbGrf6Anl7w3TA8GY4+ySk+BUrv2NOOQ4ausTUo/8TrCc5fbrQuc3UfHDk1SQirii0l9nuQ+ftvJWF1T5mSK2uKOC9RbFusaG1wg5UnNMOSK+No+fHDzGg6XcttSaJGPD0qcpcZmPWWyUtgpeoSRLTuEo3mnbjWXZebrFrGE+PoWPbC5C0fcmVPjZirsBTuJECrlSilx8Dntxs/mBMxJpYloo2YoFmnGEdxXW69MQfN734Yeb+Jb/twHLhtYhL7y/tGzp2KMESHIKdMaaKsLjHz9r5Q+4g2Fjc0sXkcPNOQ+dOXlZhvPJ0GnBbtZL97zA/BME6OyyL8+5YLGkny+sPf/gtu686f3zZeXwJrgf/0f/w/YF9WFBIQ1ZVGWcPT8cj/4//0T4QtcjgEcilct8zlujN5jQ5G3PxiZdkytSnOv5XC2m4bS2zE0jgcoCrIVfoMYWE2TO/ENdJq5XoTI1XTJd5kGiWlYciWZRM1zhAMz0+BXDL+MPLyPOCT8Mw7XbjttXE4OobBEXOh7TI1//HHE2uq3JZIyZVpEO0e/Vc2ZiUl6Y9KqeTcwMJxDkyDYxwsn95Edu61xXtLCJXS7n6gxvD+fqVVyL3R7tEssUXR7vXGeAgQHLWLNfm2JrSRHZ/WAbSi5MK+Vl6OgdMsYZ6/ijTmOWCDIZSGzoUNiWxRzuEHx3/rxw/82//qP9CU5afXgfOS+M/+zb/FdMXn80V6PgP/+r/33xWTW9OYP05Mw4C/ZfZ1J7fK5U5r3rbEbc1cbhLm8LX4tnbcqUoiaUe+JC3rGe6RHuf3XZalGnRrtNLuhhUGbYQAOM6eVDvznukVkb8gQs9U4eNPT8xRjuoUK6WDGz3H1wPKGJa3hct5xzrD6SjbeUmWl2DtpiBXmTRnEI5UlldWKsJnqrlyvXvJOy+jg9wb7R5MkIrifFnpyI0350pMlabFSsBbxXHynGZHR36HVBXblqF2DpOl0fl8WdhzlvlZaVy3LKEAscjPYjXqns/8/HJAd+jqDCiakQCEf/Nv/gvC4ZnZwZ8+L/zx7zR//stnSrf887/5gZenCZSMWWLMbHtlvVmm0XN8GlFUGppP5yjbidopBWqR0NGvxbcdkDpL152aZOfXxSUHrWHfEzgxFzscJ0avaKoxzhNDrFx3Sfecp4CJRUxmO/cwo4LRhrfzztNpQBlZ2AoTU6O1eB1cl51lSVxv9+T6Ljem2uUmqYzwsdbYSLWRsvycDe7e6Ql6F1N9OutNqCvz5Cl3m0WrNdY2tiVKmqsSc5MtZnoWveNeO8eDl6WygT0VttTopfLyNDIEzV4baYf3t+0empD5/LZKekQq7KmglZMRgtGYVhmnwDx79k1sLY1W/M//Z/8ppUFvVZb3ufAv//5f8Lvf/8RxsAyDRVvN5y8rtYtOLcXMepZLyOHgqV2zx5VaCgVorYg+8z+CkPVtB6TGQMl4q5md5nKN1K4Ygyc4izOAEqal9xZjLfnOf9eto5EvvhVJObXWCj+8NFLvGN3YN4n0eH+X9HetNOkaMUriepckAd/urt/TRrMukqhqtEz6bzexd+ytykCxNlIqxNypPYsCW0FPCqWFH966TPMbUJYEWtZOg5cmPqWM1XL7iqkQ79RpWcaLq/HoNfNgxKz/fSWmxnLeRVRbGjFlpsGgrEIXTWyd9L5hrOZ0lCQ0pcTv1CjNz//4n3F5+/ekXXhjvcvs77wk/uHf/hvmyUkIQu3SP7YVowJKdVSvHL2WIKirPFDbnjFOHIDcnVv2tfi2sXK5EHPD/DoIRNGUDAtzqxgtvKRtjSxrYt0rHw4Dk5PQRn0/NRTiQXA4/GrSoUilcjg6tO4cneLaxHFlCpa4ZS6t4NUkjit3A9ceobRISSK1v17Er7NEobrk1uhNAi41itqkwJ1TTMGRUxUP1ZjYVGW2huteiFuh5ka7J68GqxmCZZoGQqm8nzcROPRGSZnUxerox9cDT5PnvCS2ayIVEVoouuQ6aktG4cZArgkUbEuiFGE2rKNEncRNHl5n/oIvkjrfndCIUJrRbFzPkYN1OGXkRNYJEyoWOB48w2AptTEGR81isxSckoi5KtsA91thN8TcqLnRaWyqUpoit4ovTfwATEMZze2aWPfCcoksh8jf/OGEuRegNxplGk4paGLrGJeMaoqcKt3LLenj80j8fOMwSTh4L6KQnoK9a/sa+z0XUPieihIhK6EiGyt0mPMtkWLHKESA0QxGOz48j0zWcF3Fn3NbIjeTxG6yN8I9PXWwRjzoU2Mc4XgYKKWRY2E6BrE8WrNQqdt9oLoXVGn02oSCvCe8d3LrKw1j7F+NPZzWpJxIpfB5SxKbssuDYYwhb5nxw8g8BUCIhcZqZjTPz4E1F1Js1GoIZpBsn9KYmiLHjqFwvSZ0B2ssWhsm34mx4b5eS4Hqvf9HMJsfeOD/O77+rHvggf8feBTWA98Fj8J64LvgUVgPfBc8CuuB74JHYT3wXfAorAe+Cx6F9cB3waOwHvgueBTWA98Fj8J64LvgUVgPfBc8CuuB74JHYT3wXfAorAe+Cx6F9cB3waOwHvgueBTWA98Fj8J64LvgUVgPfBc8CuuB74JHYT3wXfAorAe+Cx6F9cB3waOwHvgueBTWA98Fj8J64LvgUVgPfBc8CuuB74JHYT3wXfAorAe+Cx6F9cB3waOwHvgueBTWA98Fj8J64LvgUVgPfBf8fwD68jThozgGXAAAAABJRU5ErkJggg==",
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       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='data:image/png;base64,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' 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       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_path = './CL20250727_001_Co3O4#43_Image4_0p1M_KOH_high_loading.jpg'\n",
    "import cv2\n",
    "image = cv2.imread(image_path)\n",
    "image = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)\n",
    "\n",
    "\n",
    "height, width = image.shape[:2]\n",
    "cropped = image[:, :]\n",
    "height, width = cropped.shape[:2]\n",
    "center_x, center_y = width // 2, height // 2\n",
    "fig, ax = plt.subplots(figsize = (1.5,1.5)) \n",
    "ax.imshow(cropped)\n",
    "plt.axis('off')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7bd169ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "82f380b4c8bd40c3bffffdcb87256092",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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/+N/xD++B/6V3D+9B/Fpx/91fgbftu/iJ/5Uz+F+YMfw/z0o/iT//W/hx/7VX8Hft4v+ZvxM3/yJ/Gn/tvfoxIhhLd9/+tdM9a1EqkBc4kVQPCSb8IcA8dxqNs5kbmIjK/E6+srXl/fsJJUm7c3zhYbBnNnlxUMpjEc8xg89qbh08vEMZ1ZyYDu5MTMWkFoeHkMfHo5MNQ5ku9FQDbCny15tgr4FAWFQ2wf/PnmpSqxMcLvIxUaPLsBRwwMD744xYHuHBMREzEEM4wBj525xAABbvASZmgz/PBHfwIA8N3P/jSqGq8/+9MAgOOHP45VxLdezwtvb+f9HGxPIsBTY63zfkF++It/Df78n/jPMY6fj1/12/85fPczfwZvf+nP4Bf96r8Xxw9/guXIyid+8T2vdw2s7BR7ged8VeM6T6xrsf4qNXQqWK9racTBbuy715OsyNSAp8XyLKb2m4uleV4Mx8vjwMtj4jEHpo5XN9zQQzdzXrhhDmVKFyfJoJEtQdqhMcx1nTjP854hFhiEYzpiCDszwPV9Kxc5VM7fCwDHY2KOgRv6avGcQHhlU25Sg+89m+KsE/ffuQONDNi+A+a8FlYWXt8WA2sz+nTjbBdJDaBSYC7wl//Mf4uf+eO/H9frT6PWif/1v/t9+It/+n8AALz8vF/CMdEXYljAux+FoqLA0CUmZoEB0aWgA9wmVp566ETfM3k01FWAsWu7cil7LGUfYlKPB1v8myhoRoxLE/w2DnrXVSgxNa+1mE2NAGuYwxHIVQih/5mt2Zumnc36ipgT/3MaxzhtjVWJY7BQ31OCY3Lo7taiyBi72T0S2k0IEV6cVwv9d1QndlgxQwd+9mf+dwDAyw9+IToLx6cfBQD8hT/3p7DeLlgnxgw2OQBgweM8+GgrC2vXeADy+jkCy13I9cr7pH9Wxc8RzvvyJde7BtaYU4Q4gpnEaop9kTqitUi2y50Nsm76hhXnd8IBld3sxnxOe8OwA2s5mwGQwtyCBkoZMy8GVmVjXXU3FYCgMfCNtgYcjk5y8tlN1T1Mn3MSDwLEqikNvo0shZUIN5gRiDXjMHjYQNUixaYMzLMsDZhOizNRB0Y4a8m18Nf86t+GH/7YrwYA/MiP/yr89b/+78P/9j/9Qbx993/iV/6mfwDVhV/6q34r/uz/8t/j/NmfgYlgWGV34P7oT/xN+CV/49+FX/zLfysA4Bf8xG/Cz/zp/+6vQNL5Au2px85Qb9eJ19cL2YQtvuR6367QoFkcsFYJKXbAHNn8ghLRD3h+LSGJQMQgf0pdjcHgrLhhXc9jRe31/v8AHpmZHPlcbwvXySYgV6KzYUUAYQqacAB5neRgXYlcz68PdwYMOOknJiqUqJhBcyWuVaI4kzZMVgLL9FD9BB2NN9RgfGirFnikcuTSXfiVv+V34Zf/hn8QAPDjv+K34Df+vf8sXn74C/BT/8m/DJjhN/yd/xT+4p/74/hv/tN/ixCFANhcz6OuauFX/u2/Gz/9Z/5H/OU//yfwI7/sbxVb9lkzkTkLoAmPLKHs57Ww+sme/aJQeE+f9//oX/+dOK+LASZlyONl4hhq363x9nYi10KtRBX/MDMyLE1/aDdwVSu9G97Oi53kdNZTRyACOAaPi0+fXjCcmbKUiXYNUhcxo2yNN5pHs4Hd6xgDXeKu5+Ic0I0BLl6SD8d5naQqW+C6SFs5jsCnlwOfXljnRTiCfT9npKn5Yjcipn6H4IdrYa3E+d2FlbjHXRsl72z0KpyZov80rrxQzWJ/d5IhuOQX/vhfi7/nH/938Gf/+E/iD/+Bf41cDyMP6+U4BJkEHuPAuhI/93MnXt8uvF0XiQMwNhcx4JPz09/xT/ze7x0L7zsrfGPkb/lSNQl5GQV8eiDD1E89ue1b6sWLWSVBirA7b87LY3JsMoIiheAg2+/vbRX4YJucEkwsvtXwvgfhVYQaxqAQYe0UsycEVbB2tJV4VAJvw8kJW2xENsvTnMVuZsOEBZHPpICuBGDoTMAG9sipR4jUZ+hVGuOUmBlsFspEfYGyHgbKOOzPzYht3of7yN48fSGjjtDYaOBxvMANmDBEJNzXk2Ha7KYzC4HG4zG/KBbenehHvhSDasyJlY11nco4k/KrUpWtorfrGWSb0txdN3vgOCbmsQFLvqEjiIMBDKbpJnkZH9CVeNZLGri6OqvMpUF1qU4BogKFvmk7MJNIo1ALnGsikLVwHA9CGnqI7HjFcihgWaGT/3xnFoMjosXZAjKvOzuaK6hayiMkhrSG3n5nrHAjG1YlB7te1mqvf/n/wO//d/9RNjGqn5YYDGHUFpAjFoA15ghcIVqTdJ3wxphUFuX6hobQJNSJDQBx1YvjkXUmHJyaq27l6McJUPbiG0g+POdWNkRxRgFG5Hg4kW8zcbN6Z6oFOOnRmx1wrQX3wQFrN0zzNDNmq0bDwVGHR+gYbh4NRp5TjACwbjEpW/mbPY9eiRYDlgi6AFYzrHVJG8lhcVVqUEzIgRmx0eFYb5TJVTVCQeMRAl/527Iadl640PAmUGJOYuOmEe3s3zvziRPGz98kCMCfXbQKeWj0w7EP6dBfcr1rYKUkWMRc7Fa/GBJvryVmJIHFaopAqbABMxknVRRNrMW2PRw+ePaTAcp51y5GS/KvXDzy1lroMmbKLGBdUCOILIhJyiZiHoQOfAygn8ep+0RVMRMCDN4o0n119M4xEf4EIa/zwjiCVB4jpcfmwPF4UFOp48lvnrnuTTjW+QaYo5pZ4qoEAnjMA48RwsNMPLMCrkSDLx0ciOAEI8KR66LgdEwcc6Bz4VCzYsrCVjzejxh4HAfWapzX0t/u7MK/8HpfHGuf1fst2ANSkbuvtRAOdCXCnOkXpWEs64GdoTwciVSHSQaDacSy8UT3Z3BBooWAYUntXEkxwqaxlKjQnazy1pU3qFrN48wEUnY33taFBTYNMMNIzj33cbtnayGcq5Odww76iHmzMbYAVHAsx0tX3r9zMzbYgPDI3Ee9iYho3qT8pMGsVaA7Yg48hpi2erHJA3sg5uSRu0dTZigjs3Q/m+MxkNZqplIZ/BuaFRI4BMHM/SC77+Iz14IFQUNyyg21i/A2tJMyvER26+Y4B0H1SoS+zshNimYWaNFr0SBrAHkLKKqdjAOD+OwGoEVj3riWcDRARWzfogmTlAylBxL8fhen/O479HcOaQlNCp0sERzB0U4WH1xWYUkulsmMB5USZn7L1o7jwHGEuGQS08JgEeR7gdkxPNDrksSs7xeARETK/d0IR7DbJjvXghl3jMBazazIt++LYuF9ldAjsJq4CAFD3pxdlXqzGN3HwsajVjfHKWUo1LOobRL/pGpArWd2A5pvsgpZV6Zxo7qmBaxeiSeBDg1v1jqQHJ3gqrMTVFmRmSjxkKuYnTrJtKC6Z2AXJptJ4NDf2hDX3O7JAj8tmOHcGEi7I4RkXr19J1LCDI1vgrBNIGDXUjY02EpgUW09wjDDYX7cI7VtKnLMgTGI37lgFEGD8GE45sCVi4TIte6ZZT1fme91vWtgxTHQayHiEGWWHy9Bn4TwIC8I9C9g8enoLmnhSFOBktqUTD3GQAA8zqhURWkk4sMxg7VSLuC8LhbBDcnZFzV+Qs49OHYqcNzR2LVh3oG21dowZbXFDOYadC4sHiU+YB6IOVGdyFpUKVncMEorA3QWOzps2ZhjrUvceru71zDWmDEDrb+vTTi4k/gHI6+skXh5HPjBywNdCyMGPTPWQpsR/qiFaQ+64BgQkxx3MyDQcG+MYP1mGohX4YsB0vcd6QzVM8KhbB8L7nzAvclk9EjYNz/mBAeNfKhjsHvL4rgnIAFAJV81qOYwApLuLqUPgyezNQMrdYs7y4kLD0ctDpJXMWD2z2h1mWXCiMAje5WaiWEYNhDFv8nd8XZdCAcWGiMD5VIk30Cm6DfSNXY1a8CVuFQ0U9FdQARi2D2AP89T+JNhHoHz3NmeQ3hX50O+GDvDUlXv1iz8g3UawBetpSHgeIogc1jBjMdfKti/KBa+6Lv/isscCHCYCpArzm5EqpUiFBFTzEcIbvBnEPHk1HG43/pMztu6MT2wBDpua55cyRrE+P/lYlBVPiGGKxNojl8CA1YCISvhbnh5vMhbwlRnKZu5pgjGG56LjQjrRsecm8wIKagBnmybUt13F2vCmALKFk1KcXbe7E4vQ6WyaSeugx3vkIjDRav2alRvPnsiJuX8PCqbHxateo7UIA0HAWyZmGE0557uiW5J9zQV+ZLrfQOr1W24U7dXBESrCtEOKOFYOIbqohCnKbGebAcFDqf2T9R8d2xoFpzVjewURsYUvhbHQVfRk6tVjNOcg/hXJqVgS0S7MYYQcvHqK2Gar62VCgzWKJuHnl2SzCdGO4Qa3TjYxqq2KslF9OtiBjYV+96l38E8vgf01AA4KulhEXDM6VjFI2v7UWQDGFROTyOx0ObAaZc8LxqeQA/ihdalAEscY2BdfLHIlTNknVhWtync973end1w5UVRpGmsYdLydaPayagMv0E7VAnF1stkdI1p2FMEACLXECeLN5aSpR24ZlQxn+vC27lusLFV3PNr8IQLmq42oWO3iqizgfO1VI0Vrr9FYkZmhN2YUCZf2TdsQdKZ6rn25wywEnNOCihgeDkOVNGFrySISGkxDWwkMoHXt4Xwi7HQUlBvZLwaWQunA2MY4EkWSRP5V4sJgDUejLPP6kaPibUIZY954FxvZGl4IKLR1zcEkI5DbnvY72ii1vay2iYbOy2XsBu72Q2pYWw153Vrkca7i/MG64tQum/Ny0bEDcZ2Q3XMJs+xGfCQZ5dyC8UHrtqqKTvLRc8Fs/soziqMuRU9A9uzhgznQqUJ+zEYBixI/UmZmxDYXMy8VpC2gt2ogQN4p+fWtrO0ZjlQV2MMwiVdwMq+Oztr52zvYiMxw5FOKtFGzbdLIvWXW9TCZ7UJl/Mxcb5dWJloQQzhhoVvqngPTJ+ixhjOk3RZb0OuJScXBpWJkYluQSYi2slEg8g95WFtxJ+clnh86IIlGiz+vRt1Lvggo8KuwrkSa2n84ltqRbqyD0rKRwSLcuZEWBU7uzmFbA8NeEskRROtp5DtCM4CkJXIMhwxeSi24TwvrKbowcXVbwDHmLhkUznGxOWFldcdcGW43W52AKTA2fuHdGNYoJ1OfWxUTmSAc02fWIvZM7NpbVk8BfYoDE0+XBd5ZazRSi/iF8bCl337//1y228JcaQ5Bso5JwwPtfM6yvTJQ+qcdRXBvZjsnvophzcVre5E37G5WgISIwZQi0CiO4Y7J/dqmS+NVPZLGB43Yg7NBxGatQFCpqmSjClC4bZhlKIHQt9vGT4kyy8gb7l84u1anPFZoVoaSuM9iKAC2vzk9wrXc7hMcHkw5rWw3ABQ2gaQ6Zl5ko3gxN5Ws47aHfQed+0SICTVb4GzBdymw9C9HgdQ2E473/9634wl5bO1szUSNc8h20WYaoTPOq+22/ZnhNS4rqNG4swxho5PoelS77h0eRRFDAw0RjTC1A1NvwWerF80OtmjEtB7FCBKcq28qToWHPG0dHrb4W5bF4WK2+3pYN3oDIwHH+R2gybhccHHpBra2SF7N85TB44ZHW5ulidrR58Uwu5hPfS1lalxj4L8yTuCBcUm67wk8OUxXS17yyG9JMRBq0SKOlPqXiMc4ceXxcIXffdfcbXeaiLJQCM12BRaXYnrqvthFVruJkmIwomCE9HegiliLRuLMjf0AiDCW/eipY/8GzIKbpMOx52oc8meyDkGEm+pa/OfWDVlFVbL7LWBcbftJbCQ6cgDGNboIL41jfxwmp0YXvsi7x7AuRberoVVhSM2rsXgjHDMY6LeltgPAwmZAxt0DxgA058If127GaDd5J4LuvttrBbuuApyTywsk9RtAGgyXYc3znp71qPFPFVOpP+zYdX3ut7XH0sAIy/+J2neLDZd1JfX69T4wpEOqpjN0FdjHAOvr6caGgag2kI9FA6Xu4qdWPPoGbL86S68Afj0g0NHmtMzarBJ8GCaHxY4306sdCTI7HRZOAINLH5vqz2v3rZIhVPFdHQQG8sG5oAh5b7M4/HKvsHGtQqnJ2LKbQfgy7LBzghg7pGM6DfGjGNB0+BeTTOVlthVsvg5x9OIJLZUbmKtN5INsT31t/eWo3MhwHvfDdgEFsUJgBnCvyw03pdBei6+rU0p1RwD2XRUWVcKp2LA6SUB+mmGdoDd5KiBdbG9T2h80ZvS4iiNgWoj1sHxBztGBzAQMyjqcA1rPwsqN84spwNvK3Euzu2WAoYPdTMATLUURRnsbGXYJqyr3hJhwGstzOFw32CtY8SBhSWGAw0+rOm2RyiG9aZHUR6v4bkp88BbR7lIhc2Zy1pUjFsE7uUEAmCvt4u1G1y+pgYLsI5t16SBvlu+dD/gWnwAAsDfks876w1yg7ZFzoYUTAaxRMDZ6Z1rsX4aB44IdC6cb29M8eibs7WzAPV3GmY19X9mE0V1GIZuyJwD55m4jkSMwsiW+voQ9VgwgBuiFvIvcUEBItQVEW5vMHDm5AwOKb1esjZkhuZnXSn0twceB4/TbezvINA6BoDW1y6KKLL54iA2bsdGwJ3Ng29pGsC6q0rSfP46yRyB0jHpU5/tIoM2N/fLUVehrJCWMpVzAC4TlB3kTquoL4yFd6cmE+hLfHp5IWipKbsbbl+BJfDOPEgdWYkhIJRoc8GDrFJXa7zOdR9Je942goLQcL/xmVAtNqfj06cH4rywBtmoMQamfn6Y4dXf0K+FH3564Ge/O4FstCgTrO+EfHVp/IRb8MFqWw6GBvhyoJZErxTUUhGu5sBM7jfsXC8xFSwcPgOzDG6JdUkm1iBCCkjEQdT+yrzB1KWXNLywAJy+kJXE9fqJxa1FBmyXoVbjQqrrZn25kqOqAqGOz4HV73u9b2CtddvonFfqKHKEtIW3ftDEM7ftg87OBbpprB9wj3K6SNPddGLg6eLngnbM6Xl1PAYCjtfz0hyPw912wEUqfIzxpPC0wRGUcUFA5GdzyzEDa12EKEBE241W34a4O4y6Ftxxq7oNPHrNtAWigGstvJ4nXtwwjEILc6dAQlrDebA0yEs+pHqxuHVDZMCkWLYSggyodHJpCVxjq+q6Pe3TxNHHYAfbhuzCKjk5L3HujVTrbav+fa93ZpBuyknjervQMxCT6prKTR/Jm+xfK1HuQDlJgJvjJJeaPedDOc48+bNBKi5xKAosttMwwCAb7nhg8K1243HawrMAmFgYFjQUWRclUoULlhtrg3hWzSxXz3meQSQ/zetCAbSHzF0g3gVRyapU87CT3IBpau5J8HSgnX8/NEssMDhqscYLZyecu96DxlinaEkyCL7XuMhMJQY9r/bR3GlimtAo71ocgWUWbcEjNGf8/tf7Ziy54XkMsQwKFxYcLWMwPpRcSyBlY60LeTZi0ESjthQ/U7CO3bwpLgigg/CIpxmumWMMx+Nl4BhDG7kc53lihOFtyTS25ezSgcdkBhqqyWYBQ2/5jBBFODkJAIB+qnwAGYEQCRMkYuKa8Xjk4FrD6OLWi70hw4z3gFaTm0q8MSTaiUvnqx05C9OH5p+lcRBB1HVRC9ktVgT5ksIJATiDL4uD/trcNxH+rkWR7ylLpCuTLNxv6Si8kim2VqGvxPFp0hqI3JmbDsMbTA+s0ZNdXoQMOPr2brrZDnrT9rIAtvOQQsUxJgPrmIPHYQTWShzHwJUNf9NyAwQCA8uAGcxEcTiygAdIdjvXG7YfhLkjL45amJU2Fyo0dSQ/q9YCeojZULADAm53piMKv4HOlqcVm+TGyuuuybasbLjjrPNmd7xdF1my2F0pXz4ep5sGrpe7Kfmi4w4xNrYEAYC1VotsWdVYBbzltnmSzPJbCqzzWsKq7GYUtI6I6ueYhEeIlDwtsYTYDmRESIN3j4hYLNNvy7QlYuExB9O/DNnoac6BbK2F4aLs8lzDeb5hVCFw4MSCPyZnhL795Sml1wuvsdHTf34vOtgUHhINSIfm15KV0UnrRzavJYAYNJnFoDnuSpTvFXasz0z40dBygHAGfQi0NX3tNvEwAvSk0iRtDfhn9PN4BnUClY1UYV5WGugP1aw8frsbKyk/u3na3/N65yVNu+AmBlWZGBJKZqZYCbyBLbuc69TyyEjY1IMD54xWiw8HdLfbnHZr/gzowW6H4UygzJGdRLbHQERiBKk6jsI6F9bW2B0H+U+7OHaNavqpqHF3OgDumgpkuFZyPLIWXyY0kJe6L2UT+s+RmuIgK5VcMx2LqvmYKYp8qSGOVeAm9LWG7W3Pumc7JcIY4NkcjLdmllyE5TiOA3W96r4QPGxvwBqW3NvYKjlys1vFLv2S690XYTLFAqZdMnxTixwtmPhCuAHDe7nRWnTne4z7Lf9kDwakF17rDRgm1TRv7LUWHuWIOEi6W4VhhlOe6jEC0wOPMbFGYw3D27loXeSswY6tKWzZNaLvEYkBhDR8A6N054thsElgNo8pCo0oPRqFPFXXSbdlpZxUU7LWhUjAtJTgdiruCwb6QCQa2BbmvU1FWI/l2qxVv4fq/P49eBb7tksjprpfopYMzi0FVNfNdJhjorPxTe0rNPd7DdyQONM0cGZWoRHGtVg3VPN7+DZu7wSa3o5BOguVxQUcjbfzwhJ7oIs3+LwS51V4tRPoQK1EPwxzPJmnAYKRj0G6Mu84eVKAOk8JPj3Alr953I1B2MBNGSRk+uaBMgHB5pJ7TQ61N1vAjOLXLrkXyqNB9Uy7wXZ21MvS5ojmJleAduVh9HbPdXFnYu79PeqInRk1i0xTGD3thxG9jzk5B7xS5rsMrkvuOqvZ3FTJy+xL0xW+gvFaC7PNKiCZ+pdLpau2G5rJ7UJ8NUiH0Vo6skXZWm+UnX5WG59hKl9pOK+F774DvMmDquEIfy4q4KhDtlSsgJ64jg95XPGtv3DRJdAet9zewu8JgoO23yZIo6QqTrVhay361nfeUAOMHlywFlZUt1TNLG7aTrUo3VIf0c7eNAFroe2Ft/NEFRVMsetHtJqZQMFwCT8cvnnygQEKPLIWlTyZ6HyWL6VmokVy/KZoM8b3QmYbzAhbcTvnUAdUKig1K6sSN5z4Cz0X6DhsIWJgFwfK7giNI8JkyV0toaXBvdEdcGusVFckhmcu6hpRRP5XymhjDjYH4nx9ejmwroVrifjWhqUgDW3ZcJIt2DggNKymIPc6F9CcBIT807NoDNdvFx+mt/SWhTEGrkU7b3LfQytXyGUhzz9FMdKI6HMFOEiqdAfyhiqIBc4hYa3oyBvpz1yaz4ZUQttegEG19+t8yfWugfX6+sob2RxyrkXhKsccBQj5XquIRvc2wQ0kFhCG13NhxMLL4yCbQG+rueF4TNYy5fKFh9ak8Eh6fbuAoivLeZ73MXhd5Bxtk/zdB61VKCRJdUFRZ4OeU8c0UYYLcz8UDaWHTNYa0PIAGopcV2Ie9EuoXABoyAsk1nmpnttQCu/ZdV53wIwYWkdnQAFTjjqrDemSxkWQGapOLlMr4oK2SMMC2eR9ZXG4r9IMIwxAIGvbSLKJKABRwOcbLPJbqrHo88mze7iBrEq1unIy3gaw1TriQD72Rnp9kGJzXhcOn9yxY+SsE9GGFmBeGGNgiDFaxbrOYLjORTwI4G7BMu1z7psPVVmAJ6ISGIHRgXGQ03XMIWqw3eYkbZT5m2CHDVGYCuXNO3MT8r6L6uYCT0qpVX/tU0Y25bY5Yg0WzkmMjZADQc85A3MF8cExON0Q3XtomNw6EfoEMMhWAAi/7MzVKBzHUFbjvao9txQ05L1fve9/va/bjCbumYXOdXdJbkOkPrrSxQj4eHpiAXX7N13Xia28szegYt3iAlNrTUoHA2CI3lGZqHIsW3xQhMNBCorDY9ODiS5nyjcUwIK2Xah2GxYIEShnHHg9T4TziMriFvs59mJ1BsQwYmZdhZiDW+rBORwbwpClkGFdKeccwjIkIDRi8O9A8bxtzYGsCgZSkCOeC5x2XbaqYGn0I5MprSPxhkYPg+PQ8a01dtu4xFkv7k0Ut5fFvcfo+1/vC5Ce7Fq4ak2q3Ku4QLz22IbSpnVtcUBjDJH6KskaEBZWRrXOHMHxRpJf5c5533ByRhzc3GXWnGcYj5uyzUjtu4YKkeHua6d/8CiILUVVJhp6AZixALPYiyVYzI+JtahrnMQnqABzp2VRL41UVGAb9wmOGEiwQ86VnDiwKsc2ou2mGMTDMQA8jonG4jShEudJOyPqKzYVHFphN+ANcs1w4jj0qPd9AEBxd+vbnhrM7p3tvv/1vgCptHxwrhZa2QoYBlqmbuDutsxkor9tIYl1xf6XxA2tN9PkRBdakUaHmBId1+7lSpsXFiPuTquzEaO5b+cet1COtS0A4IGOAQvDMbjdAsZj6FL3CEDIvI5FOesAhgVywlYSKC1JuqDmzmOIHWGAyyHQFgUj0DhmEZpYVyOm0zRXgHB2I4ajUIgKxBQuIMyMmy7492xB7RykAa3tuNMl0qWTIuSBtkWShgbnvWo7GXzv690d/ba3k6lNdrf77C+/TyfUWpiTEMH2ZuB4ZhAxV1dCADVvQ3yOdUhLfowhigh542hgLygPKLVjzxpJgTlqwC6gg3Th1GfcZnHX4oM/3y4cj0l/B9UeLdScJ6acW7ShnoDjtgXgZ1+5bqCROwsLe8sG9D0xB+rS8ssQkKl7Rbil0ZJ8te5faHsYl6XjNjMp0+KqOfD62ni8HOiLdt0h2vYWrH6+DGuvq4OA6XbK177kevfVvQQ5ebNZyHJEQRc/EuyG2uLNp9rsgBFDLT39FzaV2cPx+axxc7t3fZX5NAzb2BgaWmzM3X7b1Ya/O5G5/TZxd6aoRqGwbHGzVrHLI82HZL+VNEvrG1ClIjHvgbkyRtLryxtweaG2NeIxYVsiZ0YcawR6ifuh7BNj3NkOUIZvkyIIN1NiTzW3HdMmWxLdX7BBM4MtiD3PJdMUvrC5B+MOXNeFrWD/puCGQqOSaTUMfNM+o4Rwv7EDe23sdlhp+lVVJt2KQRboGFuzx2zRzYd1L33SjG+PX+qz7Mi7S5m73eYZopzEZz4Mgj84btr76Z0Gcs6uMPMSc4DM11VcT8yvDQwdzVy/y89LOr/dgHGrI+5+DuZdIKgj5InF+5hNm8oejkcMRAzk0uJ24W52MTM1EiWnNxqOGJDcqEHTERfouW3IWateVRgxgZIPhYb/VxZy9U0P+r7X+3aFWu4jMgGHxtoC6qZVcsoa3DkoR742Id2XvA2oOplz8q1sYOyN8Zs5GoIm6ileTYkw21PNcgMRKNti04EquhUP52rhlJC1KtksxB6lSHQAsgsoQXca9hezFzQwbw2v91Kn1MOqxc9T2KxYujRzxR6z06ZirzM1atplhCgtF4N4W0imJhdjDuJUBWFmRPg3n237P/CIJq7IF1/36H7RcL8MNIHTUPxbMrd9k3OJi9e7JfEtyihNJ+gNEDQuEEd9m+eDgenaB2MOt8IYU7J2pv6hHYGkPe/FA2RREhQFABrQmru8oCigsBhc+da4Uexu7mPebnl7djikRh4eWOl4Q6JrwSfVPhHGfc3m9/hpL5DSRBt7t/LzmNv7rQlvZFE+xm/fQdG3twShBQAga4OTC/Kq6jODFFpSihbtlJiF0yFx+CSO1Y6lGhEQIRHbbK3uApgLtL5srdz7HoVtmMGpVK3EfJDLNOeAO0c7YwYJeXKcgeRWcAJ+6Ma6ltikjTEOGYOJJ6/AHc7Ofg6h0xdwwFFt914ckgNIza0lBB/QzdWQGkDazoQy3Qij7u7lhZSXcHgX3FJceAbf9i0dkzXMAHeqXkLDN6mxy5B1MQBUH8UYXK+31j3I7pLDs21uVSCvxMJF1ojA1+wScZHAqDkhhhJR0huUnBkfr9OSh6iCZM9Vhby4MB3q2Nda3HX0mVjk+17vS5txvkkwYB6mVp7Sr3nEvVPw5YUmYdOf1j8lSmVEqNAmbTkmtYLHZNfnAvVmxF3Ah5H/fi6uChkjREUuXLlwjC0no2cWdxES8rqPDQOgAfOcA8dDVt3B9h7GgHh5gEdiMQt2J9DczMo6hrO7Z79OIzry9ck2K0C2qszOpbUj/VlTANWLu4NzJ535PBMFQgVZKX3ANljjz4RxXPM5er7LE6i2rKRvaondUHvQ1XzZvhB4/wpb7ItChL3Z3QOwQU/N4xF4BPfhDPd71NC5cC1gfHrB63WRVoJBfVtx5ha7TrM993K8aF1uqRnY/gy567sI1HnKh/QpzhC9iY1FsQoKC6H7EmXYc53wVgePqQXf50JMv0WyQ51sjIcWkxfemrO5s+ihurphSUO3zEL1pd+fqI0ztUiSAItqSBGUylSiIm9LpFXMPq1uVkxn1OLLUvLdz2oxS+1ZP+3vKwb7/mctpsOXXu9uCkJ/KaK5vvnokytyx6RL7zEdMwyfjiEKieO8Ft6uxOHj/sO3sFTFF9FuCSe4EdWU5dhdLeNq4FzcVNGWarWfyLqBhfy5kq217zJcewuFs+1RdUijdzdJWehpd9caQzZHKpqpJhZfy/nZNqCZuUt5ycTQ2jyWzGP775VJWoPCkXIGwRKPa+W6YQJ0o4yQzJLQxMAFCueViIvYYBlJld+9vqLKaCkgIrYZTVx6O+8AtwPN946FL/ru/8dFSssxJ+Yx4dE8+h4DL4+BHz4GZlD/9zLHPTR2D70t241Gm7tWogO8eZmYY1A8EX4vAncV+ed3J9B8UNcqBlhCCmS/NY0Ag/MYjoLjqm1xDekANXtEU18oTujenDp8kFmhGeQuuiP8RtXdHCPIFyOYR98pytbIuWHmFNtzAIlGm3y6jEN6b04iNgjKKolZOVTYC+bi5zNy6YGNvtNhBv2Kx4Mrk90EV5i22oP7GrfayR3clItvKLDGiLsrmtMxhuE4Ai9z4gfHwMsxMIcxoESXlfqODz4MnvuGb3Ie1PIbjkkcbAxDBLu18NBGiBPobddzcZfgkveTG8SMZiB6w5IaQFOdWiisRZe9qwyeiUSJE6baDvrPij1+vIe1rU7KJETNwvNe+GTQ17rrl71WhDz1p04gPKgGVOqsbrn2mUxwG8MHa7V1iYLDnAsdjQBvGv3pC2l274zugoxzNWXVMgEDR2YN8fDtGwqsbcg6Dy6bfHmZ+PQS+OHjwHB6iu/0fS0OpXcLzj+ExcSuMyJc/2aWc+Pmh0OFsiu9kzrsN9CaxXnhJZmVJwRD0CQjUwsE5AfKDm7vzyDGztmsa+3cwuMxMcdkNKVstVm03YzQbRbi4WKPsmHY9RwfP/1DiTcBfKjEwbbPhZvsJVHy7BoyC5GpnBE7I5rO7JfJnY91d7zEzTIa0z7x+3VfKfCQXAythkNMVuyS8hvqCufgtqzHETgOx6dH4OUYUskYb/RnWM/KxJCBhgu/GZN+DpmJBqf0oQ3yHoAHUJ062rbESQh6XVjJ7qoahC4WYQI0U/52C9yNRoHD8wijh6qOBOJEzGJjcOzzdl43ZynAOoTSe9x+9sSymI1LU4OSOwywm4dn57VNegmjuOT5hr0uJca4Qcsh0mRXPv0Yum9CJOlEg8cfWoKThtt5szwCm7CoKrJFBtyiisLTn+ILrncNrMcjSEibjpdj4uWYOAQHONjVwEglOegCthMvwhV84AaFjUJvxxSOc/ag2tF0X+MscvFNdNMauDeOV2pTna8LVWR6jtg1DMdBBG+5XXSOIchkH88hnwb5XCXdcWYMzQuBK7Wnxh15ngD2IFp4lwQka9WNyO+ZKn0WWBpssUYPwQsg5rXyoheXDWwCCFfxTWyZWQLwYbjkdDwGXWw41eCccq+Vu82BB2swTr/E0DB7joW+JdrMD17ocHVE4HEM6vS00qyS5/0CdX7oxpgDI0KuyGqJTxb/Zy+500xo0a5Uu5znGSjU3OpoHn8XDWWTtUiup/1RZuJ4uOZ1razJBzz25lanXbiJf9VyfeG6N/lwKejIwNQYxohH+Rg8jVNuLlXi8fPzsjgeKujBn9Msxl1zUdM2ia5kQS/fibIiyyKMHbNDZcPOsLKNEvbVJwv07ZBo9qRRuxl8FWY4zjMpNNY9RutY/sJYeN/AekzRU2RcVo1Odk/7CJzyyNy1xQgjv90dwwa635Crse4de7zh57VEsOORNpXxtmH/z/3cK747L3z3yu83EQZJXWl6jF4L19V4HON2vgPYnmfKoAyi0VShfPtUyVppz9uKlbs7BSLXuXD2dS882D+zxB7d/3u4oY20FTcnX70d13VhHA/SsAHUYvPC3+G3Ygjbq8INVUsiVwZDA8LrcCP+3HhLpc7OWlu6tnGuCMCTM0I2ScQG+1tiNzyOIfKeAeB+lzkCw5QJbHMcibvMSde/OTmWsYfWiogwmGIlrFVY0+8RDYe6C8PodPd2LSpvFinH16IKJ/dCc9bYpOVC28n8YEFtvKnDjXRig3pVztuekzkW5GQYTD20uoWmDX22ZJZZF5VBlYXrbYkezQZhO3xaKCjKta2Cx7QNoDHgl1YP2x2fILYm1qh8JdgD0HjFvXAtfSbxtIzkBZEScR+LYY1qMlq7AKzEMbQ97Vs6Cj+90ASkS15TKl7NDDH9XmRpxvUdcwOLmTxG3Dh0ng6/jLXTfpVS6h5Rhq9rIU1t/rpupgLf3MJ5FSkgCdV1deM0EVqsFOOmPHMfokQZc8CCv6taD9G5No9ZicXx7vPIBeNewrz4sK4zn+YfzWwybd7ms3snYiUlYPeabGOGhMBa7qXmm7G0CiVCHPUxYG3It4XnGnexafe+RzN2PATjyHs34l4JStgmGnUmOvoO9ici/P2ud+4Ked5n0QrnOCYekzPBIaFBJbnteyl2GDupzMU/fATG4opfKo+3MBOSeZFBeesN1Yaf14m1Eq+vb8gKsRdC69cAYNs12n2U7X3VDW4Be27pbsC4BdaG3R2Tgyl3TgZ3NWd4UkriWlRoVz+P6LX2/IjNy3Djcs3KG7Io4F6qFMdTxGrKprny2X0qe7nc3HrRabAKmMdANTNZrc8yaffNsO1kFv7cC547Elvr8Vrzwm8psCbVMCs5OzumYU7DI4iyVxJ/QTmsC6aCvjXGqU7yoOQeg70CJQvmExFkLhAPexqLZTauBaxlcJtowQQF3FmMzFKOOqIK07aIk8VzFU3HzvPCiMALDrxWIie9HzYM4mkoYWt78xiPaMDBlXLrvG6BrVthuyBDxyekiYQ7OqmF1DY++UYE1SHAZwyJ4u9Q10ZvB8CmpgZOGOVKriN248JP/vU8lgOBdkdZ4eoSLAFNMhzuHOSj6+Z4fd/rnbd/EcPxIP2YMz0yE9wa7YE8161IMdeScFwSTjJreDiOYyLP6+6eqiFxBmkw0MA0cwOFA9VUsFx7GXc3QVBxulPijktWjrBCNP0RAHzWvRHvzyyEFa7enCoeoy7SX+nEaOCe43kEfBYinw7IqzSXLCl+bgq14dDLcUxZSwYhj9JiyjloJ54bEwOD0I1kRMCQF+nXXWTYpkZaBQowsLHRjU+ZZHRu9ylAOybeh895+9/3eneryNvhzp+jEA/Qke5aFJAatGiy4V3Ik0enx0DXUzEy5yTZTUzM7IZl48yCq/SqBhJ2m2WwvReLU6gyQUYR+Yzou8Px8nIAvdehaM2by5dqXXADrqa1jzsf/FosxDl41sNuClr34HbOCffUUb2ELrSoKxzdWJdWs2wxqbG2c1pcjuC6PXbGUjFruYAZWRfT2fTUpEzeJ0uA9MZy6hd5L+gKmEmxr3ffn2eruFt4nxlV4Y0vW6bzFWyMiGQjoLVlibALJvT62u2/0WCf3WPoKFww7d7bqDXAEiXXIjHOedzs5QHs+gznSrxdiVUGOGXtLdHCXvY99pjCnFSVYhdke4jb9PrsJFZUMtdfuYBg2z7nA5ngEdpkMXGMBWQ/4YswR68LNgf21tduZpkYBgO3SFhTqTzmwDymMl/COzHdcQVLCMrmOXDfSqh5BKINeDmQWtebSZfB6QOX0Z05HFhFk7WtSPpcN+hOy6SVtBzIcs0qv//17nbctMvuu0hMGC4UM5HUu1UJH44YcggWj6qr0eJOYVtSiz+1VpJf1QW7Fh+yBaGGlbiyRIBjZttdUZv8QkWDxh52Sx7PFLCPP5mUFJXKKAKTAAvotMbb6ar3tl0kxy65jMa9TmPYe9900xmZR5EAVQi2COAxXwBNIkZQkh+Tqp0+KDCpiz/3LqfV2ISz055zwIz7sIlBydJyOsIHzrVgxX9eVRg29p/NWi0L7cRlxhiEc9Y35N3QAv66LqyLS77NhobFyeGraodebI+53VS5SSh1Q5iLO+acqFpC3ReLYD5RgIotqXJMQCCU+ksLt/mlnM19RsoT8s7PTYR8A4jcLy0mK1p0FxHjBEaaseDtpQ6vORBOrd1Fg9n5NkyDdl1T9hYuyGWSnWEgg8PmwHVdlOt74zQpvg1ieRb20vPWzqKsZMPTQ8zWusW13Y5+bXgBQAggNVkz8aVbtu5Mt3VF3xRtptW6osib3kDnm12UeCuTjaG3PQtwqXdvMl3d3KKIQK+EZSPapYMrThjLQPYKHYmzVai60ZAfIWM1v8FJD2dHFvIV7aQzX28VtZaLu8G8KZzwIPUEgA2Zpunv3JhSNRce7P02ufhv/n4DmqCGNUUkL8dAhGEOEh/7xvj4ZoQZpgMXCmZFQmE7zmLHN1UHVj5xvbUWIQbnyuPhfid9ZrN9/EmBDrnZOAmSAO7x1x4tfcn1zgsEiH4XmtLtMqSUO9WLbwoMdS2yFnwg195ar13Ne+JvdFGpJublZuiUo40kW5d2KW8eOVT8t8DSFCazM4aH3ewCFt2NvK6bneBmPEY0CwTwzFRVyKKHFQXRzGwjuGiKG73oO7+uJQyLgTXHuH/WkKbxOOhBUVIfjxG31G2OARQQfjEApzP7IxBjEtMqILFlbnoJC4CyWogUCcOd8cyNMExTO7lX312y9EY/u3X/lmgzG1bjkUAeNuTRsGVG6EJeC3M68m50tnCA8zhvjje4L7nv0cSSS0zqeHNlImJQzDj3Ik6IZlxSTZTfTcPKhGuin7mw9yfOoZHLHIjptxwrwZrJq1TAB4bo0N57QCNzj83TggK1G+fbKx7zgMN1BMtXAs+vAzRPHJzxjRj44Q9/gPLv8Pp2IVNArOqwfVTdDsq+N4nh9rIYgxsmygurUtpI+t13NTldi2vvehOxII/Xb4k2A7XkNPEg/cVE7IPQ7s1cXPe2BSl1JQLdqpQIzvY2o+G8EtfFIh1gDRUxCMgWfdSzoF045GwR+NzIdKNX3XZFFAyI/qygHzpG3YPjpmhts6hbEbOuhde3Nx5j44G9O7CysNaF0hjKP2s69LjkecXMnhdu4qIZcK0T7kHMSwKM6YZjsQZlduPLUg1aNXWjxe4wDZkJdBbJlmJsQEP7axXexLFPHblZVPRYEyOLcE4QvqWRzlps8ckIKKlLmIViDNyVNKR81nHUl2y7YWitn5tzSndoLIhLWxrkKOMtZzszAa684aTstgrwBoSwoxI7xiG7aYMEGyZRgpiYPfi7IjgcPpO6vKyCyV6RfhEloYXag4bowOyo2PlxvuiitqAbFttrIe6mhe9WYgTVSVDmnWHoEbjQeFVZsQFfDxrUbVhmjGCWCh6Dey1ymrxX9XLQ88EI95hxOZVGSGtbVH5ZXL1zxlI6XaJ93JKsZCubnTBTsSx6BxcJEUNxOScbDFisAwi2OvYBt1bKaIzF876ptdXIIDTQRgfA80ouNQdgTRDw02NQgOrg5zGZ1C52XNfK2+8hVyKv6wmJqKa7VuK7t+172ggfcBsY1qDcmzgeYW1++myCvUcERlCd7NrCZdizQYo/TDSijYFlMjhSGy6ApwkIVxsP/h0AFyxpTujgzse1M5sA1qVmpQQMbx9V264j31JXuBkG1YUoAHKfq+boZL/dXMVm7La6sFeml4rHG8Qzv0HO7Y15y5OqgRa2VRxhdBlgrM14HEpOJeihs/B4OfA4JoZBJLudeUpLwh3LiOyn+PG3Ia9DYlfuLzzPkqjDsYUhVVwCCgAWWhwOwSLyZM0FbIyF3SqzIANXL1SYqC4spF3Mh7wutMxsCwyqEaR3H4MrX/Y0hrZMhepQ12x8XyUtW7Js4loa1aBuOObEl0oL3/cozFT9txFr0kZKNdEeq6RmcjStaO7esb3FSxbe3fAsrUKj4VgEqbwrS9ZG7Do3BTlV12w3vtIxvCUT466vio6AsVF+oFdic/LXqk0M1ZhKTsJtd0u+VmLEFLfJBJ3oOFfnSYflQCX/xtKsE8tpF2mtQjvQc2JdiWfxzKyRWThX4lzkmZGZQdoQN2TwZ885biLj0JLyeTjezoVr7ZfXOXXQJjC/max6YVkM8kT4lvhYNLCVCEHn9n4r397eEPJZ2NJxcpWEPenYNCcjAUYvh7kNYGW4FmCmpikxuUvDQdGmZoObZTlNBD0nIs9RS8h41hVolOX3GPI/IIc+5G6HxtP7qhJlQEQjvYAJrJM1ofumV5tQfsiXftFhoUHhaC0sK3GlAmiFveCLKlYBmWSDrmy8npcEqKcG39xKtrG0skaaId0Rc1C4Wto/qJqqZB7Md6Xv0+66NCCnsbxOmMSw+UWx8O67dFSf3ki4JKkAeLPkW4YGWQZoLZ4cwl/k0VDgUm+346Yo8/zfG6uSCHp8plLGHn7bbSvURSsi6P8rLZBcFnfDcF9yDtxCsL0M0jLv5Qc3S7SIo5mruxJmNcQp780iFyZ3yoOqi+LUcyXsBPxhymaq61bhNS+ao6k8XYty+qWmYLMCq+m8l92oixpDXBcNV0ZgJWX83fx8rU5wb0+7VqKNYmHuOOQLTfe/byhjRQTO8wLKMI4pm+zSOGUbj7HmuXJpKZD+AOE/sbjHZo4BOAHRwCbnOYFX+sXwhq8kij7YAYV0d+FPo49NbalO9Goa1jq1e9UFq0b0FqUahg+EQQxSzfyyEDGJe21WaCa/L1j/lBB6OA1woWO5QVbq27UFpts8REfvBijLtLyg8Pq6gBi3L9ZtK9SiuHxm9dQSZKxF1dG1EnHljfHthVClhUzujnMt5NZNKrNBQHMzbr/oel92QzjmMeCmJZG2jSYIQwRCY4YUe7HJUTLn2lkYrtUAFtYqHDNI5gzuHVwtozSTKjn8tqUmuqxxjdBtsL5nsINCBncDslCi5nLf81NwauJxTbneDONROgdd9fb6XIC7gjiq4cOCMwjhMhtxxzCqeUzNRHfj6oIvw+OgTtCAewvsxviYHReZGaLbhHhSLsNafgomMIpjlVGrkO6YmHLXITOkk9vWUjXc0r8BcdGaa4S7gFHfUMZyuvvzJmqn8z1CuVsVFsbHGFhGU7EllzwIi+6GDDUcuNYtBjXtTY54mqPdM2kVo+6stRytY5Zq6YZzAzyAcvppGRiIz/08VOuEb39PodhmWpfLzMP5rgp0J6Gxtu+qc5DL3YZkxwKBvN7YEMDuATFE+oPEqm9vF97eFr57e9M21dbMVLNBjY1GDDJEnCDpUkbu4nG7efNVrc0d9LRoZX6u66VpyI3/7W0hQ8h+f0vIO+z2yywR5ADQoQ8bQ2FxqwTFNn9dWAmMQV0iYQJHrgYVVhtZNvpuQUqSEgfM2JBxxmw0GlMs00UwcNvAChDdsqq7Biluu0ADPvnmmkYd20Nij0r2y0M9j99zRogyXXpJIM4XiszSQ2tJ0FTIDJmQ8OudNGxwm8Yqqn089gvKGd4YQywMMhNyFes7fUYXmZHbQJa67hSwzI76bQtok97w6+Jncnd0LkIk31KNtbrhbSgT4AZ5mvcWHlAOlnpgDRbSZsHxTdbNPDAj+8G1hHKEwUsZQpSPtYr8J1lez0EqCqS1u7QSF6DGEUaiXVfCt8wpJRh1BWzzWJDO+q7ZaFoS8sMa8EErpt2WRzjaKHlrudz0ViOr1jtf30j208/oTlQTDiEMYjiTiFihKQRRl9YAjuC2Mp/UZ7oDHYDJNbpby6LyAozZzA2AxQ33NLj6byV/Zm2ICOx+p8nN51uqsQAueGx1K2x5aXm4AcvSSAfFoplwgzo40HXZTV4NygB+Hwck5y3hYZf275HeO+W9qVPX5K3ZgCFFL9EQWL9njE2/3SMN/a8iiFvgOMW1OIm408BzaQAzcAxuPTNznG+U2XNxpSjSyZ+X3dqsYZqnhrgIWoYuWDI80KEhejP7o4lpDXVsbBzsris7qXxuQLQjNiK0LNKYXC+Nm9P3QkN7ODtZE+yzdQdfcr0vjqUiEXii7FWNdqLRKSqyQRvur4XrIlthu6SYWl6zPfva0neX27DjFL35NrKAlCZCnW+D/nYBmRpG63eHB+TGyKxi9DQ9NYvMVZjil3M1L4+txzz0eRqxg94BGDlapoBCa7iL4meEydZoiB+vpZ97+5kbIL3jHMGhfCtjNTdYLHmV7iUNXBEnHE61YpW6Z06s9f0EeMcYyLwIveySBACwmbJQ1vZ7hvsl17vv0lkaD3iTZUb9GrCQYnj2jYznZi4snv8wYNge18i7vQo2g87JUhdES8wQDV/CzWrBe2o7q8zFUPK/aqytbzbiSNu++14hjG1LLduk2Hv7/BnYTrO3xzElP5OZmtttKTltUk2EFuERkqHtdbp2s2Db/BZhVDdsGDyBx6AFwNJIqYqZMmsh1wm3icfLJ8BoKw4z+NL8D7LcriX6Mk3iwrkiuM9CWCLKMCqk5+SEYC8ajRj4wtr9/Y/CfQxABhNwdSLFP3qqC1siBRLH2l3STY266wWqRjTxV+retkDdqsEEbWw+0n2s7QfmuBmqzFwscFcuzfn67go/n71SsWMYxuPPjKTEIfoLYuij85uyFsIOuQGmul0xLpo1Y4Tjumjodl3bJFwj9oLMRkqGKtJO9tY+0nHn3l4RPDbjOOC2ACzRfDSGyhKrRPcnDBaA1eb2t/5+YOWpTN/o+jKFDvDu7Ia+0TXToJO4NwUPDSCk1yvSqngTm3KoTeAbRuAuV6Pmlk0RWoC2JkQ4WrM1iCEJSMo+OZ6IORCq3SaIEd213qYC8+ykEML28Ntg4pHT2ogOgvSaCPnUhxaVJRFwI9K+t07AXYZsKWMSgaUlI1rjHhzXcU7eGnDTgFpOxsZgYzHv/KwObKX4yxxPVkeyc84ywNSJOwNzm789vebVaYoRoSmnBCabZfv9r3fWFQpDUJfDpEWMKCKwzb62R9QSxrUZor7HP8Y/02MIFki8nYXHY+rtIsDqMDJUxYYY2nyxi2t2dSzAy/eCAL+pI6ZxCwykUWPjN7zZ0w0zAGBhzgPHHPh5P/gBCIkAPhxnglaO7oi5CYz0WgcY8y7ulgu4tY0NCIV351zuykuWS4Qb7g0VykHArs34Ar28jGeXnY4agdc3ftW2aWcjw9rOwgDfcgkyZbcfxrEH91bIzm9rSdN5XVzINCZMRTeXOTIztPAlvhtUtZgATSsi3mFcd9tNOm0WlzAdx2RrXAwaAoVU+0JBVE2uE/bgVTaSlKSHjlaCkXRfHmSGyj2w3Qh/ADiOA2Fy+lNQjXAWwM7usqSSqWq8SZK+55MssJmFGpwSrLUwYsDHbl15L7Y1JNH2/eKxfHAZe1D7p693KsXnmMyw7sjIm1rkThdqjqRYjnB7Rt2ZnaMm1pNQM7DdcGD4tjLWtgtaIvW5705DGWz/AZ9RaG0BNui9YGI7NIoEOtkIQcMTMiBtD/7k2kIMJyYtlK7FzV0AC1Im+ed6XaAVGLRoPEZgoZBhONyRIKDKvYgUMhxH3FvjadpLf6lVhfO6dLwRtd9sTG7wIve/y7BJfNvEBK6R0fgMPAY/HxF8ou3WQC02G6HRDY3WQqg5j8tUIJgB57pItda+Z2ik1EXp2YjARZIq9uLynQpv79H6hgKLx1TBwZlatvEXaBDNtScl22sNi41K4xHG7V3YznOQMwzf3vMewvJG7FGEGaX45vbZkBXQoAcjBq66tN1BlYSBa9oA+rAX9YQugNTFzBjHoHBiOMYAXh7836Y/Nhc/k0HKnJ1h9K/zvMSUdTUbuLtJMj5YlHOHIGuhlbu54As0RuDM6w68PZYpDbLPS36HvXE13McwAVJmou4Ubte4RmFk46ok/RumoJNzsj2Py+97vTvnHdibSw1WwAVWLL6Fmpp1PTdUOexshBiOfQOR/Jk3sCcRcaWUxZBKuAF43oU4oYzNSF3IxVljDLrvMXGyeHdjcBJgJW3YAHmdykte3hP0kyo81CGiZMqx1r1ujrO6uOsnNFHu9udqPf6TRvaFMV4wJ/GxLQ3rpvXA3s6a2wxOlkNtQKbhOi/MwZfBemNoPJb534mtxTHF9fd7x84cLAumk1m6NKTXqu27+fiS633dZqA6Rh0OKTPCrLoxnbzsULu+W+Ke7JCg5ZHQQGUHYiW3L5i1sCnD+XZKYgbVEAIMP4Mbwojx7HFGCZzxCprkOzn3u9rZqHU3FTVh2o0syo+HoxzKNaXvoP3S9muA5n4NxVc3rpMe6+6ObKqj6fisw69SUvdLjnsCl3O734DC1l639eVajcpQ98l7He44xsT5dhGGMJOwg4yPavqODjFxLyTq7YKbnJotKPT41rrCzd225E13bfdKcETQggZ8UtpkTeZjG5U6BH0Wi1tlEmhIu2rBVLi7lSg3KpLhYpPyIWVDPg1CqoWhYeNdUC3Xn8FQbbc4AWY02ADZAQ8PZp3mqpDBM4mZTsX3VhDvlp5pRuh8ySnHDQjVNWJSmE0BtSoB3D4TluxBPrMX/cEYsGNsz6wLc4wnPqeai40QNB8NBcvzGVUttNH+PMKRFycMu2P+srD6GmKKZHMcKpaJOQ3YDJrW6diZj4EA8Pb6hlX0LY2yW0hxL7w07tyrLKrHuqgA1j/jzSf3adc+e7a22RTWGraCgGIqRVk/U/7umnazllWIjhtwHOlYwX2L0x2Hxw3W3nsHqxFjajAtJqu4YpatZVKTNYzGWNe1cMzQiKoxjwNt2lBvJCSi2SSgtVJPimuzlj+qwTrvLMgsLy4/IJCYPK7r9VLmJiwzj4nrbWEek0e8gVtcv6mMZcDjmHz4WTcVA6A1UIcYnnMHlgEoXEVarogfdA22JnUl6JLMpoVGre57JvjEdqCai+mIGWcjyVBwrStZAhGWR4UhA8DOZmJ9dpPhikVbyjoLhgHrIHa1ihx7Y8e3MwUNRWgxQNMQ2jO5sp9LZFJC4xOGqxIhhXS7Ia9dF6q8b75UhwcSW8YfGA4cEVTmOFBjYJ2tP1f0Y2XTndmrn80QyZA88rhJZAgKShEJvywW3nn7l5YPgX5PAOuobnprPj4dOB5Tw2Uh0xl4HBNVhnTg9e1UXWP3cHcjxNBPxPaIquSbaM6j0k0maQHcg17JxqrkekO8iDUH7qUA0BhkH4ecHdKvfR+dYQtzP0hTIIMPzCBoAeSVQ2OdlttMSZTKrlF+8b3vEC0xIwzT+FnOV46sTBnPjR7u8JYpW2sTCIOSLA9hUeuz0VY/MznXJrsaTq5I4dzS1RE3gEUg1b4sst4XeVfS2Z2ZWd/i5zEo+SbRf7f321rabolWCOC8s5COp+otw2oU2DqzPeY9iO2NlU9Ti30MhOoqOtnhDhpz1imZdsuwNo5EwUaJ4lKwEzjmlCDB784qc+/EMfp23niZmhnIccZ03GXCO3DY5NeJDbFpMV3bMhuS0z/pziP4WR5zIIZWoMRzemD2rMeI19m9NADdSBQGnGtQPDDHvF0T3ULKINNg/Mum0NZfeph+XB/XX+X6Qp7gx/Vx/dWvj8D6uL7K9RFYH9dXuT4C6+P6KtdHYH1cX+X6CKyP66tcH4H1cX2V6yOwPq6vcn0E1sf1Va6PwPq4vsr1EVgf11e5PgLr4/oq10dgfVxf5foIrI/rq1wfgfVxfZXrI7A+rq9y/V+bWnCtsDFt9AAAAABJRU5ErkJggg==' width=150.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "image_path = './CL20250727_001_Co3O4#43_Image4_0p1M_KOH_high_loading.jpg'\n",
    "import cv2\n",
    "\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.cbook as cbook\n",
    "from matplotlib_scalebar.scalebar import ScaleBar\n",
    "import cv2\n",
    " \n",
    "\n",
    "\n",
    "# Create scale bar\n",
    "scalebar = ScaleBar(dx = float(20/float(675-590)), \n",
    "                    units = \"µm\",\n",
    "                    length_fraction=0.4,\n",
    "                    height_fraction = 0.025, \n",
    "                    font_properties = {'size': 7, 'weight': 'bold'},\n",
    "                    color = 'white', \n",
    "                    box_color = 'none' )\n",
    "\n",
    "\n",
    "image = cv2.imread(image_path)\n",
    "image = cv2.cvtColor(image, cv2.COLOR_BGR2RGB)\n",
    "\n",
    "\n",
    "height, width = image.shape[:2]\n",
    "cropped = image[150:300, 150:300]\n",
    "height, width = cropped.shape[:2]\n",
    "center_x, center_y = width // 2, height // 2\n",
    "fig, ax = plt.subplots(figsize = (1.5,1.5)) \n",
    "ax.imshow(cropped)\n",
    "ax.add_artist(scalebar)\n",
    "ax.set_aspect('equal')\n",
    "plt.axis('off')\n",
    "plt.savefig(f'light_micrograph_high_loading.tif', dpi = 600); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3372cd20",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
